PREVIOUS SEMINAR PROGRAM

2017

13.11.Andrew Mathas (Univ. Sydney): THE REPRESENTATION THEORY OF THE SYMMETRIC GROUPS
slides

6.11. Leonid Positselski (Univ. Haifa): OBTAINABLE MODULES AND THE DESCENT OF VERY FLATNESS
Abstract: The proof of the very flat conjecture is based on the main lemmas describing descent properties of the class of very flat modules with respect to certain morphisms of commutative rings. The proofs of the main lemmas are, in turn, based on a combination of three techniques: obtainable modules, contramodules, and a derived category version of the Nunke-Matlis exact sequence. In this talk, I will explain what obtainable modules are and how to use them, and sketch the proofs of the two main lemmas. Time permitting, I may also say a few words about the generalization of some results about very flatness to strongly flat and weakly cotorsion modules.

30.10.Andrew Mathas (Univ. Sydney): JANTZEN FILTRATIONS AND GRADED SPECHT MODULES
Abstract: The Jantzen sum formula is a classical result in the representation theory of the symmetric and general linear groups that describes a natural filtration of the Specht modules over any field. Analogues of this result exist for many algebras including the cyclotomic Hecke algebras of type A. Quite remarkably, the cyclotomic Hecke algebras of type A are now know to admit a Z-grading because they are isomorphic to cyclotomic KLR algebras. I will explain how to give an easy proof, and stronger formulation, of Jantzen sum formula for the cyclotomic Hecke algebras of type A using the KLR grading. I will discuss some consequences and applications of this approach.

23.10. (15:30) Leonid Positselski (Univ. Haifa): THE VERY FLAT CONJECTURE IN COMMUTATIVE ALGEBRA
Abstract: The very flat conjecture claims that any flat, finitely presented commutative algebra over a commutative ring is a very flat module over that ring. This was formulated in February 2014 and proved in the Summer of 2017. In the talk, I will introduce two formulations of the conjecture and discuss corollaries. Then I will formulate two versions of the Main Lemma and deduce the conjecture from the Main Lemma. Time permitting, I will also say a few words about the proofs of (at least some versions) of the Main Lemma, and about its extensions from the very flat to the strongly flat/quite flat setting.

23.10. (16:30) Simone Virili (Univ. Murcia): FACTORIZATION SYSTEMS ON (STABLE) DERIVATORS
Abstract

16.10. Jan Nekovář (Univ. Pierre et Marie Curie, Paris): WHAT CAN ONE SAY ABOUT A REPRESENTATION OF A GIVEN GROUP OR ALGEBRA, IF IT IS A ROOT OF THE CHARACTERISTIC POLYNOMIAL OF A TENSOR PRODUCT OF SEVERAL IRREDUCIBLE REPRESENTATIONS OF THE SAME GROUP OR ALGEBRA?

2.10. Zahra Nazemian (IPM Tehran): ISOARTINIAN AND ISONOETHERIAN MODULES AND RINGS

25.9. Alberto Facchini (Univ. Padova): UNIQUENESS OF DECOMPOSITIONS AND FACTORIZATIONS, G-GROUPS AND POLYNOMIALS

26.6. Leonid Positselski (Univ. Haifa): ALMOST PERFECT MULTIPLICATIVE SUBSETS IN COMMUTATIVE RINGS

20.6. Leonid Positselski (Univ. Haifa): ABELIAN RIGHT PERPENDICULAR SUBCATEGORIES IN MODULE CATEGORIES 3

12.6. Leonid Positselski (Univ. Haifa): ABELIAN RIGHT PERPENDICULAR SUBCATEGORIES IN MODULE CATEGORIES 2

5.6. Leonid Positselski (Univ. Haifa): ABELIAN RIGHT PERPENDICULAR SUBCATEGORIES IN MODULE CATEGORIES
Abstract: Geigle and Lenzing defined the perpendicular subcategories to classes of objects in abelian categories, and proved that the right perpendicular subcategory to a class of objects of projective dimension 1 is abelian. More generally, one can consider those Ext^{0,1}-perpendicular subcategories to classes of objects that just happen to be abelian with an exact inclusion functor, for whatever reason. In particular, if the Ext^{0,1}-perpendicular subcategory to a given class of objects happens to coincide with the Ext^{0,1,2}-perpendicular subcategory to the same objects, then this subcategory is abelian. In this talk I will suggest a series of definitions of perpendicular subcategories, and show that, no matter which one of these definitions one chooses, the class of abelian categories obtainable as the right perpendicular subcategories to sets of objects or morphisms in module categories turns out to be the same. Namely, it it the class of all locally presentable abelian categories with a projective generator.

22.5. Pavel Coupek: 1-COTILTING SHEAVES ON CURVES

15.5. Michael Lieberman (ECI): NONFORKING FOR THE REST OF US
Abstract: The related notions of nonforking, independence, and stable amalgamation are of central importance in the development of the stability theory of both elementary and nonelementary classes, but have not been much appreciated (or understood) by nonspecialists. We discuss ongoing joint work with Jiří Rosický and Sebastien Vasey, which aims to provide a friendlier, more straightforwardly mathematical, category-theoretic formulation of this idea. In particular, we develop a well-behaved nonforking relation for coregular locally presentable and locally multi-presentable categories. Time permitting, we will consider why the latter case may be very interesting, indeed.

24.4. Alessandro Rapa (Univ. Trento): ATOM SPECTRUM OF COTILTING HEARTS: KRONECKER CASE

10.4. Jan Šaroch (MFF UK): PROJECTIVELY RESOLVED GORENSTEIN FLAT MODULES ARE GORENSTEIN PROJECTIVE

3.4. Pavel Příhoda (MFF UK): CONSTRUCTIONS OF PURE PROJECTIVE MODULES OVER CHAIN DOMAINS

27.3. Jan Šťovíček (MFF UK): COTILTING SHEAVES ON NOETHERIAN SCHEMES

20.3. Aibat Yeskeyev (Qaraghandy State University named after E.A.Buketov): THE PROPERTIES OF JONSSON THEORIES AND THEIR MODELS

13.3. Jan Šaroch (MFF UK): DEFINABILITY, $\Sigma$-COTORSION MODULES AND SINGULAR COMPACTNESS

6.3. Alexander Slávik (MFF UK): DERIVED CATEGORIES OF CERTAIN SUBCATEGORIES OF FLAT SHEAVES

27.2. Samuel Mokriš (MFF UK): SOLUTION TO WEHRUNG'S PROBLEM ON BANASCHEWSKI FUNCTIONS

9.1. Alexander Slávik (MFF UK): VERY FLAT MODULES AND QUASI-COHERENT SHEAVES
The class of very flat modules over a commutative ring has many nice properties; for instance, the notion of very flatness is Zariski-local, therefore it makes perfect sense to define very flat quasi-coherent sheaves. The main idea is to use this class as a remedy for the lack of projective quasi-coherent sheaves, replacing the usual approach (due to Murfet) via flat sheaves. Joint work with S. Estrada and J. Trlifaj with occasional hints from L. Positselski.

2016

19.12. Magnus Hellstroem-Finnsen (NTNU Trondheim): HOCHSCHILD COHOMOLOGY OF MONOIDS
We define the Hochschild complex and cohomology of a monoid in an Ab-enriched monoidal category. Then we interpret some of the lower dimensional cohomology groups and discuss that the cohomology ring is to be graded-commutative.

12.12. Michal Hrbek (MFF UK): n-TILTING CLASSES AND LOCAL HOMOLOGY

5.12. Jan Trlifaj (MFF): ZARISKI LOCALITY FOR TILTING QC-SHEAVES OVER LOCALLY NOETHERIAN SCHEMES

28.11. Leonid Positselski (Univ. Haifa): \infty-TILTING AND CONTRAMODULES

21.11. Leonid Positselski (Univ. Haifa): TILTING-COTILTING CORRESPONDENCE

14.11. Tibor Beke (University of Massachussetts): ACCESSIBLE FUNCTORS AND LAMBDA-EQUIVALENT OBJECTS

7.11. Peter Vamos (University of Exeter): IMMEDIATE EXTENSIONS OF RINGS

31.10. Leonid Positselski (Technion): COTORSION MODULES OVER COMMUTATIVE NOETHERIAN RINGS OF KRULL DIMENSION 1

17.10. Amit Kuber (ECI Brno): K-THEORY OF MODEL-THEORETIC STRUCTURES

8.9. Pedro Guil Asensio (Univ. Murcia): EXACT CATEGORIES WITH DIRECT LIMITS

8.9. Sergio Estrada Dominguez (Univ. Murcia): VERY FLAT QUASI-COHERENT SHEAVES

23.5. Cihat Abdioglu (Karamanoglu Mehmetbey Univ.): CENTRALIZING MAPPINGS, DERIVATIONS AND FUNCTIONAL IDENTITIES IN PRIME RINGS

29.6. Pavel Čoupek (MFF): 1-COTILTING SHEAVES ON A NOETHERIAN SCHEME

16.5. Jan Šaroch (MFF): ON SOLVABILITY OF Z-LINEAR HOMOGENOUS EQUATIONS IN Z

9.5. Problem session on silting theory

25.4. Igor Kriz (University of Michigan in Ann Arbor): DERIVED REPRESENTATION THEORY

18.4. Ali Mahin Fallah (University of Isfahan): ON THE AUSLANDER-REITEN CONJECTURE FOR ALGEBRAS

4.4. Gennady Puninskyi (Belarusian State University): THE GERASIMOV-SAKHAEV EXAMPLE REVISITED.

21.3. Jan Šaroch (MFF): PREENVELOPING TORSION CLASSES AND PURE-PROJECTIVE MODULES

14.3. Michal Hrbek (MFF): n-TILTING MODULES OVER COMMUTATIVE RINGS

7.3. Pavel Příhoda (MFF): PURE PROJECTIVE TILTING MODULES

11.1. Manuel Saorín (Univ. Murcia) SILTING THEORY AND A TILTING THEORY FOR AB3 ABELIAN CATEGORIES

2015

21.12. Leonid Positselski (Technion & IITP) CONTRAHERENT COSHEAVES 4

15.12. Leonid Positselski (Technion & IITP) CONTRAHERENT COSHEAVES 3

14.12. Moritz Groth (MPIM Bonn) CHARACTERIZATIONS OF STABILITY FOR ABSTRACT HOMOTOPY THEORIES

7.12. Leonid Positselski (Technion & IITP) CONTRAHERENT COSHEAVES 2

30.11. Leonid Positselski (Technion & IITP) CONTRAHERENT COSHEAVES

23.11. Pavel Příhoda (MFF): DOMAINS WITH FULLY DECOMPOSABLE GENERALIZED LATTICES

16.11. Jan Trlifaj (MFF): R-PROJECTIVITY

13.11. Roger Wiegand (Univ. Nebraska) MODULES WITH NO SELF-EXTENSIONS
Let R be a local Noetherian Gorenstein domain, and let M be a finitely generated R-module such that M\otimes_R M^* is maximal Cohen-Macaulay. The so-called "Huneke-Wiegand Conjecture" (from the early nineties) asserts that M must be a free module. The conjecture reduces to the one-dimensional case, where it can be shown (assuming, harmlessly, that M is torsion-free) that the torsion submodule of M\otimes_R M^* is Ext^1_R(M,M). Thus the conjecture asserts that over a local one-dimensional Gorenstein domain every rigid module (a module for which every self-extension splits) is free. The conjecture is open even when R is a complete intersection and M is an ideal of R. In work with Srikanth Iyengar and Craig Huneke, we have verified many cases of the conjecture, for example, when M is a licci ideal of R.

2.11. Leonid Positselski (Technion & IITP) COTORSION THEORIES IN LOCALLY PRESENTABLE ABELIAN CATEGORIES
I will explain how to apply a small object argument-based approach to the construction of complete cotorsion theories in locally presentable abelian categories, partially generalizing the work of Eklof and Trlifaj. This technique can be applied in order to deduce completeness of the flat and very flat cotorsion theories in the categories of contramodules over the topological projective limit of a sequence of associative (resp., commutative) rings. I will also present a counterexample showing why a full generalization of the Eklof-Trlifaj theorem to locally presentable abelian categories does not seem to be possible. Time permitting, I may also say a few words about a proof of the existence of flat covers in contramodule categories. The talk is based on a recent joint work with J. Rosicky.

26.10. Michal Hrbek (MFF): SILTING OVER COMMUTATIVE RINGS

19.10. Vitezslav Kala (MFF): FINITELY GENERATED LATTICE-ORDERED GROUPS

12.10. Jan Stovicek (MFF): SILTING RING EPIMORPHISMS ARE OF COUNTABLE TYPE

23.6. Philipp Rothmaler (CUNY New York) MITTAG-LEFFLER MODULES

2.6. Markus Schmidmeier (Florida Atlantic Univ.) A SWISS CHEESE THEOREM FOR LINEAR OPERATORS WITH TWO INVARIANT SUBSPACES
In this talk we discuss a joint project with Audrey Moore on the possible dimension types of linear operators with two invariant subspaces. Formally, we consider systems $(V, T, U_1, U_2)$ where $V$ is a finite dimensional vector space, $T: V\to V$ a nilpotent linear operator, and $U_1$, $U_2$ subspaces of $V$ which are contained in each other and which are invariant under the action of $T$. To each system we can associate the dimension type $(\dim U_1, dim U_2/U_1, dim V/U_2)$.
Such systems occur in the theory of linear time-invariant dynamical systems where the subquotient $U_2/U_1$ is used to reduce the dynamical system to one which is completely controllable and completely observable.
No gaps but holes: The well-known No-Gap Theorem by Bongartz states that for a finite dimensional algebra over an algebraically closed field, whenever there is an indecomposable module of length $n>1$, then there is one of length $n-1$. By comparison, consider the space given by the dimension types of indecomposable systems in the situation where $T$ acts with nilpotency index at most 4. Our main result states that in this space there are triples, for example $(3,1,3)$, which can not be realized as the dimension type of an indecomposable object, while each neighbor can.

18.5. Jan Šťovíček (MFF): UNIVERSAL LOCALIZATIONS, TORSION CLASSES, AND TAU-TILTING THEORY

11.5. Ivo Herzog (Ohio State Univ.): REPRESENTATION THEORY OF THE DUBROVIN-PUNINSKI RING

4.5. Michal Hrbek (MFF): TILTING AND COFINITE-TYPE COTILTING OVER COMMUTATIVE RINGS

27.4. Alexander Slávik (MFF): CONTRAADJUSTED MODULES OVER DEDEKIND DOMAINS

13.4. Jan Šaroch (MFF): MITTAG-LEFFLER MODULES AND RIGHT ALMOST SPLIT MAPS

23.3. Pavel Příhoda (MFF): PURE-PROJECTIVE MODULES OVER COMMUTATIVE RINGS

9.3. Jan Trlifaj (MFF): VERY FLAT AND LOCALLY VERY FLAT MODULES

2.3. Michal Hrbek (MFF): TILTING IN ONE-DIMENSIONAL DOMAINS

23.2. Ivo Herzog (Ohio State Univ.): PURE-SEMISIMPLE CONJECTURE

2014

15.12. Christmas party

1.12. Jan Šťovíček (MFF): ON PURITY AND APPLICATIONS TO CODERIVED AND SINGULARITY CATEGORIES

25.11. Siamak Yassemi (IPM Tehran & MPI Bonn): A THEOREM OF BASS: PAST, PRESENT, AND FUTURE

24.11. Siamak Yassemi (IPM Tehran & MPI Bonn): COMBINATORIAL ASPECTS OF COMMUTATIVE ALGEBRA
In 1975 a new trend of commutative algebra arose with the work by Richard Stanley who used the theory of Cohen-Macaulay rings to prove affirmatively the upper bound conjecture for spheres. It then turned out that commutative algebra supplies basic methods in the algebraic study of combinatorics on convex polytopes and simplicial complexes. Stanley was the first who used in a systematic way concepts and technique from commutative algebra to study simplicial complexes by considering the Hilbert function of Stanley-Reisner rings, whose defining ideals are generated by square-free monomials. Since then, the study of square-free monomial ideals from both the algebraic and combinatorial point of view is one of the most exciting topics in commutative algebra.
In this talk we present a survey on some research on combinatorial commutative algebra.

11.11. Roger Wiegand (Univ. of Nebraska, Lincoln): NON-UNIQUENESS OF DIRECT SUM DECOMPOSITIONS (abstract)

10.11. (15:30) Roger Wiegand (Univ. of Nebraska, Lincoln): VANISHING OF TOR OVER COMPLETE INTERSECTIONS (abstract)

10.11. (16:20) Sylvia Wiegand (Univ. of Nebraska, Lincoln): BUILDING EXAMPLES USING POWER SERIES OVER NOETHERIAN RINGS
Joint work with William Heinzer and Christel Rotthaus
In ongoing work with William Heinzer and Christel Rotthaus over the past twenty years we have been applying a construction technique for obtaining sometimes baffling, sometimes badly behaved, sometimes Noetherian, sometimes non- Noetherian integral domains. This technique of intersecting fields with power series rings goes back to Akizuki-Schmidt in the 1930s and Nagata in the 1950s, and since then has also been employed by Nishimuri, Heitmann, Ogoma, the authors and others.
We are writing a book about our procedures and examples. We present some of the theory and techniques we use, and mention some examples. In particular we may mention some famous classical examples and show how they are streamlined with this technique or give an example that is "almost Noetherian" in that exactly one prime ideal is not finitely generated.


10.11. (17:10) Ciprian Modoi (Babes-Bolyai Univ., Cluj-Napoca): IDEAL COTORSION PAIRS IN TRIANGULATED CATEGORIES I

10.11. (18:00) Simion Breaz (Babes-Bolyai Univ., Cluj-Napoca): IDEAL COTORSION PAIRS IN TRIANGULATED CATEGORIES II

3.11. Michael Lieberman (ECI): CLASSIFICATION THEORY FOR ACCESSIBLE CATEGORIES
We discuss recent joint work with Jiří Rosický which seeks to extend a fragment of the classification theory of AECs to the more general framework of accessible categories, particularly for accessible categories with concrete directed colimits: essentially AECs minus coherence. There are several pleasant surprises---a generalization of Boney's recent theorem on tameness of AECs under a large cardinal hypothesis follows from work of Makkai and Paré. On the other hand, these categories admit a robust Ehrenfeucht-Mostowski functor which can be used to mimic certain constructions in AECs, which should have new and meaningful implications in categorical algebra.

31.10. Moritz Groth (MPI, Bonn): INTRODUCTION TO \INFTY-CATEGORIES

20.10. Pavel Příhoda (MFF UK): TRACE IDEAL OF A PURE PROJECTIVE MODULE

13.10. Jan Šťovíček (MFF UK): HIGHER TRIANGULATIONS AND MAY'S AXIOMS AS CONSEQUENCES OF REPRESENTATION THEORY

6.10. Jan Šaroch (MFF UK): RELATING DIRECT SUMS AND DIRECT PRODUCTS OF THE REGULAR MODULE

5.6. Xianhui Fu (Northeast Normal University, Changchun, China): THE MONO-EPI EXACT SUBSTRUCTURE OF THE CATEGORY OF ARROWS AND ITS APPLICATIONS
The mono-epi (ME) exact structure on the morphisms of an exact category (A;E) is introduced. The ideal versions of Eklof's Lemma and Eklof-Trlifaj's Lemma will be shown in this talk. The ideal version of Eklof's Lemma will be applied to prove the following result: if R is a left coherent ring, then the category of pure-projective left R-modules is closed under extensions if and only if every FP-projective left R-module is pure-projective.

26.5. ECI ALGEBRA DAY (from 11am in lecture theatre K1)
A joint workshop of the ECI algebra groups from Brno and Prague on open problems, presented by J.Bourke (MU Brno), P.Prihoda (MFF UK), L.Vokrinek (MU Brno), M.Korbelar (MU Brno), J.Stovicek (MFF UK), J.Rosicky (MU Brno) and J.Trlifaj (MFF UK)

5.5. Jan Šaroch (MFF UK): ORDERED FIELDS, THEIR INTEGER PARTS, AND INDUCTION

14.4. Jan Trlifaj (MFF UK): APPROXIMATIONS VS. GENERALIZED INJECTIVITY

31.3. Leonid Positselski (Univ. Bielefeld & NRUHSE Moscow): CONTRAMODULES AND CONTRAHERENT COSHEAVES
Contramodules are a wide class of module-type algebraic structures endowed with infinite summation operations. Defined originally by Eilenberg and Moore in 1965 in the case of coalgebras over commutative rings, they experience a small renaissance now after being all but forgotten for three or four decades. I will define contramodules over topological rings, some topological Lie algebras, and topological groups, and discuss contramodules over compele Noetherian rings in some detail. Globalizing contramodules over nonaffine algebraic varieties requires the notion of a contraherent cosheaf, and I will say a few words about these, too.

24.3. Michal Hrbek (MFF UK): MINIMAL GENERATION OF ABELIAN GROUPS AND MODULES
We present a work in progress, which can be motivated by the following question: Which abelian groups have the property that any set of generators contains a minimal set of generators (minimal with respect to inclusion)? The main obstacle to answering this leads to a question concerning a characterization of perfect rings asked in a paper by Nashier and Nichols from 1991, and innocent as it may look, it seems to be open. Although so far we are unable to provide an answer, we solve several intermediate problems, which have nice linear algebraic or even combinatorial formulations. (Joint work with D. Herden and P. Růžička.)

10.3. Adam-Christiaan van Roosmalen (MFF UK): HALL ALGEBRAS FOR REPRESENTATIONS OF LINEARLY ORDERED SETS
This talk is based on joint research with Qunhua Liu and Guillaume Pouchin. Let Q be a quiver of Dynkin type A and let F_q be a finite field with q elements. It is well-known that the Hall algebra of the category of F_q representations of Q is connected with the quantized enveloping algebra of sl(n). In this talk, I will replace the quiver Q by an infinite linearly ordered set and describe the corresponding Hall algebra. This algebra can then be seen as a quantization of the positive part of the enveloping algebra of a locally finite Lie algebra.

24.2. Daniel Herden (MFF UK): BLACK BOXES FOR ALEPH_2-FREE GROUPS

14.1. Mauritz Groth (Radboud Univ. Nijmegen) : TILTING THEORY VIA STABLE HOMOTOPY THEORY
Tilting theory is a derived version of Morita theory. In the context of quivers Q and Q' and a field k, this amounts to looking for conditions which guarantee that the derived categories of the path algebras D(kQ) and D(kQ') are equivalent as triangulated categories. In this project (which is j/w Jan Stovicek) we take a different approach to tilting theory and show that some aspects of it are formal consequences of stability. Slightly more precisely, we show that certain tilting equivalences can be lifted to the context of arbitrary abstract stable homotopy theory. Plugging in specific examples this tells us that refined versions of these tilting results are also valid over arbitrary ground rings, for quasi-coherent modules on a scheme, in the differential-graded context and also in the spectral context.

13.1. Andrew Mathas (Univ. Sydney): THE RISE AND FALL OF THE JAMES AND LUSZTIG CONJECTURES
Much of the activity in the representation theory of Lie groups in the last thirty years has been geared towards proving the James conjecture (type A) and the Lusztig conjecture (all types). Roughly speaking, these conjectures say that in certain circumstances the formal characters of the finite groups of Lie type coincide with the characters of corresponding irreducible representations for quantum groups at roots of unity. The characters of the irreducible representations of quantum groups at roots of unity are determined by certain (parabolic) Kazhdan-Lusztig polynomials so they are, in principle, completely known and understood. I will give a survey about the current status of these two conjectures.

6.1. Jan Trlifaj (MFF UK): SAORIN'S PROBLEM

2013

2.12. Daniel Herden (MFF UK): SOME ASPECTS OF \ALEPH_K-FREENESS

25.11. Jan Stovicek (MFF UK): TILTING IN STABLE HOMOTOPY THEORIES
The concept of a tilting module originated from Bernstein-Gelfand-Ponomarev reflection functors. Curiously, the reflection functors themselves have an easy interpretation in any reasonable stable homotopy theory and induce equivalences in this vastly generalized setting. The aim of the talk, which is based on recent joint work with Moritz Groth, is to explain this story.

18.11. Frederick Marks (Univ. Stuttgart) UNIVERSAL LOCALISATIONS AND TILTING MODULES FOR HEREDITARY RINGS
We study the interplay between universal localisations, as defined by Cohn and Schofield, and tilting modules in the context of hereditary rings. For finite dimensional algebras, we establish a bijection between finitely generated support tilting modules and finite dimensional universal localisations. As a consequence, the finitely generated tilting modules do all arise from universal localisation. This phenomenon is well known not to hold for arbitrary tilting modules over hereditary rings. Nevertheless, the methods involved in the classical setup allow us to find new criteria to decide whether a (possibly large) tilting module over a hereditary ring arises from localisation. This new approach, based on work in progress with Lidia Angeleri Huegel and Jorge Vitoria, will be discussed in the last part of the talk.

7.11. Sylvia Wiegand (University of Nebraska) : PRIME IDEALS IN NOETHERIAN POLYNOMIAL AND POWER SERIES INTEGRAL DOMAINS
Joint work with Ela Celikbas and Christina Eubanks-Turner
About sixty years ago, Irving Kaplansky asked the difficult question: "What partially ordered sets occur as the set of prime ideals of a Noetherian ring, ordered under inclusion?" Motivated by his question, we describe the set of prime ideals of mixed polynomial-power series rings of the form B = R[[x]][y]/Q, R[y][[x]]/Q or R[[x]][[y]]/Q, where R is a one-dimensional Noetherian domain, x and y are indeterminates, and Q is a height-one prime ideal of the appropriate ring with x \notin Q. Actually Spec(R[[x]][[y]]/Q) is somewhat easily characterized; and Spec(R[y][[x]]/Q) is similar to Spec(R[[x]][y]/Q). If R is a countable domain, our descriptions of Spec(R[y][[x]]/Q) and Spec(R[[x]][[y]]/Q) are characterizations.
If R is a countable one-dimensional domain with infinitely many maximal ideals, our possible descriptions for the partially ordered set Spec(R[[x]][[y]]/Q) can all be realized as Spec(Z[[x]][y]/Q), for an appropriate height-one prime ideal Q of Z[[x]][y], the mixed power series over the integers Z. We give some ideas of the proof using some counting techniques and an interesting property of Spec(Z[y]) observed by R. Wiegand in 1988. If time permits we may prove or discuss the partially ordered set SpecB, if R is a countable semilocal domain or if R is a Henselian ring.

7.11. Roger Wiegand (University of Nebraska) : TORSION IN TENSOR PRODUCTS AND VANISHING OF TOR
abstract

4.11. Hans C. Herbig (ECI) : OPEN AND SOLVED PROBLEMS IN SINGULAR POISSON GEOMETRY
I will talk about applications of the BFV-complex to deformation quantization of singular symplectic quotients. I will indicate why it is necessary to develop a cohomology theory for Lie-Rinehart pairs (A,L) that encompasses also the case when the the A-module underlying the Lie algebra L is non-projective.

21.10. Simion Breaz (Babes-Bolyai Univ., Cluj-Napoca): SUBGROUPS WHICH ADMIT EXTENSIONS OF HOMOMORPHISMS

21.10. Ciprian Modoi (Babes-Bolyai Univ., Cluj-Napoca): ON A THEOREM OF G. BERGMAN

7.10. Jan Saroch (MFF UK): RELATIVE MITTAG-LEFFLER MODULES AND PURE-INJECTIVITY

16.9. Lidie Angeleri (Univ. Verona): MODULES OF IRRATIONAL SLOPE OVER TUBULAR ALGEBRAS
We discuss the notion of slope over a canonical algebra of tubular type and focus on the modules of irrational slope. They are all infinite dimensional, and it turns out that they are determined by a tilting module, or dually, by a cotilting module. This also leads to classification results for indecomposable pure-injective modules.

15.8. Igor Kriz: SUPER-MODULAR FUNCTORS AND THEIR K-THEORETIC REALIZATIONS

15.7. John Baldwin (Univ. Illinois, Chicago): COMPLETENESS AND CATEGORICITY (IN POWER): FORMALIZATION WITHOUT FOUNDATIONALISM
This investigation arose as a contrast between the role of formal methods in usual model theory and what one might term ‘formalism-free’ methods in the study of AEC. Formalization has three roles: 1) a foundation for an area (perhaps all) of mathematics, 2) a resource for investigating problems in ‘normal’ mathematics, 3) a tool to organize various mathematical areas so as to emphasize commonalities and differences. We focus on the use of theories and syntactical properties of theories in roles 2) and 3). Formal methods enter both into the classification of theories and the study of definable set of a particular model. We regard a property of a theory (in first or second order logic) as virtuous if the property has mathematical consequences for the theory or for models of the theory. We argue that for second order logic, ‘categoricity’ of a theory (as opposed to categoricity of a specific axiomatization) has little virtue. For first order logic, categoricity is trivial. But ‘categoricity in power’ illustrates the sort of mathematical consequences we mean. One can lay out a schema with a few parameters (depending on the theory) which describes the structure of any model of any theory categorical in uncountable power. Similar schema for the decomposition of models apply to other theories according to properties defining the stability hierarchy. We describe arguments using properties, which essentially involve formalizing mathematics, to obtain results in ‘mainstream’ mathematics. We consider discussions on method by Kashdan, and Bourbaki as well as such logicians as Hrushovski and Shelah.

27.5. Pavel Paták (MFF UK): STRONG ASPECTS OF Z_2 HOMOLOGY

20.5. Zuzana Safernová POLYNOMIAL PARTITIONING METHOD IN DISCRETE GEOMETRY

14.5. Moritz Groth (Radboud Univ.): STABLE GROTHENDIECK DERIVATORS AND CANONICAL TRIANGULATIONS
The theory of derivators (going back to Grothendieck, Heller, and others) provides an axiomatic approach to homotopy theory. It adresses the problem that the rather crude passage from model categories to homotopy categories results in a serious loss of information. In the stable context, the typice defects of triangulated categories (non-functoriality of cone constru-ction, lack of homotopy colimits) can be seen as a reminiscent of this fact. The simple but surprisingly powerful idea behind a derivator is that instead one should form homotopy catego-ries of various diagram categories and also keep track of the calculus of homotopy Kan extensions.
In this talk we cover some basics of derivators culminating in a sketch proof that stable derivators provide an enhancement of triangulated categories. Possibly more important than this result itself are the techniques developed along the way as they lay the foundations for further research directions. The aim of this talk is to (hopefully) advertise derivators as a convenient, 'weakly terminal' approach to axiomatic homotopy theory.

13.5. Jan Šťovíček (MFF UK & ECI) HOMOLOGICAL EPIMORPHISMS FROM VALUATION DOMAINS

29.4. Jan Trlifaj (MFF): TOR-PAIRS

22.4. Pavel Růžička (MFF): WEAK BASES OF MODULES

18.3. Jan Trlifaj (MFF): COTILTING FOR COMMUTATIVE RINGS AND LOCALIZATION

11.3. Jan Šťovíček (MFF & ECI): TTF TRIPLES IN TRIANGULATED CATEGORIES II

4.3. Jan Šťovíček (MFF & ECI): TTF TRIPLES IN TRIANGULATED CATEGORIES

25.2. Jan Trlifaj (MFF): WILDNESS VERSUS PURE-SEMISIMPLICITY

17.1. Jan Šťovíček (MFF & ECI): DG ALGEBRAS AND EQUIVALENCE OF DERIVED CATEGORIES

15.1. Dolors Herbera (UA Barcelona): DEFINABLE CLASSES AND MITTAG-LEFFLER CONDITIONS

14.1. Michal Hrbek (MFF UK): MODULES WITH A MINIMAL GENERATING SET

7.1. Jan Stovicek (MFF UK): STABLE DERIVATORS, TORSION PAIRS IN TRIANGULATED CATEGORIES, AND A CLASSIFICATION OF CO-T-STRUCTURES
I will introduce stable derivators, a rather technical but interesting concept due to Grothendieck. I will outline how this can be used to study the structure of compactly generated torsion pairs in triangulated categories and to classify compactly generated co-t-structures in triangulated categories.

2012

19.12. Vítězslav Kala (MFF UK and Purdue University): ASYMPTOTIC RESULTS IN THE LANGLANDS PROGRAM
The Langlands program is a series of conjectures that provide a common framework for a large part of modern number theory. Its goal is to relate representations of absolute Galois groups of number fields to certain analytic objects, automorphic representations. For example, a special case of this correspondence was proved by Wiles and Taylor as the main step of the proof of Fermat's Last Theorem.
In the talk, we will first give an overview and a motivation for the Langlands program, keeping the prerequisited minimal. Then we will discuss some recent asymptotic results on the number of various types of Galois and automorphic representations.

17.12. Sylvia Wiegand (University of Nebraska): PRIME IDEALS IN NOETHERIAN RINGS
Let R be a commutative Noetherian ring. We consider the set Spec(R) of prime ideals of R as a partially ordered set, ordered by inclusion. Around 1950 Irving Kaplansky asked, "Which partially ordered sets arise as Spec(R) for some Noetherian ring R?" This question is completely open, even if only two-dimensional sets are considered, despite a large amount of work over the intervening years by many mathematicians, such as Hochster, Heitmann, Nagata, McAdam, and Ratli . In this talk, we describe prime spectra for some two-dimensional rings of polynomials and power series. This involves our work and work of William Heinzer, Christel Rotthaus, Roger Wiegand and our students.

10.12. Tibor Beke (University of Massachusets): A FUNCTORIAL VERSION OF SHELAH'S SINGULAR COMPACTNESS
Shelah's celebrated singular compactness theorem asserts that if G is a group whose cardinality is singular, and all subgroups of G are free, then G itself is free. Shelah's proof can be adapted to various other settings, including abelian groups, R-modules, filtered R-modules, colorings of infinite graphs, and transversals of systems of sets. It hasn't been clear whether there is a single statement unifying these applications and their various conclusions. This talk is a preliminary report on joint work with J. Rosicky on what seems to be the "most comprehensive" form of singular compactness. The proof is an adaptation of one of Shelah's arguments to the setting of accessible categories and functors.

3.12. Jan Saroch (MFF UK): COSTA'S CONJECTURE

26.11. Martin Doubek (MFF UK): ALGEBRAIC STRUCTURES IN STRING THEORY

12.11. Michael Lieberman (ECI): CATEGORIAL ABSTRACT MODEL THEORY
We outline the basic project of abstract model theory, and introduce abstract elementary classes (AECs), which recommend themselves as an ideal context in which to investigate generalized classi-fication theory. We consider the ways in which they represent a shift in the direction of category theory, leading to the peculiar no-mans-land between abstract model theory and accessible categories currently being explored by T. Beke, J. Rosicky, and myself. Finally, we consider a few surprising results concerning AECs that arise as simple appli-cations of ideas from the realm of accessible categories.

5.11. Pierre Schapira (Paris VI): ALGEBRAIC MICROLOCAL ANALYSIS I CHARACTERISTIC VARIETY AND MICROSUPPORT
On a complex manifold X, a coherent D-module M admits a characteristic variety char(M), a closed conic co-isotropic complex subvariety of the cotangent bundle T^*X. On a real manifold M, a sheaf admits a micro-support SS(F), a closed conic co-isotropic subset of the cotangent bundle T^*M. In this talk, I will explain both constructions, describe their functorial properties, and explain their links.

29.10. Pavel Příhoda (MFF UK): PURE PROJECTIVE MODULES OVER CHAIN DOMAINS WITH KRULL DIMENSION

15.10. David Pospisil (ECI): A CLASSIFICATION OF COMPACTLY GENERATED CO-T-STRUCTURES FOR COMMUTATIVE NOETHERIAN RINGS
We classify compactly generated co-t-structures in derived categories of commutative noetherian rings using a recent result of Alonso, Jeremias and Saorin. We also show that the collection of co-t-structures admitted by the category of perfect complexes is very restricted (joint work with J.Šťovíček).

8.10. Jan Triflaj (MFF UK): APPROXIMATIONS AND LOCALLY FREE MODULES
In 2003 Shelah set the first limits to approximation theory by showing independence of Whitehead groups being a precovering class. Recently, flat Mittag-Leffler modules over countable non-perfect rings were shown not to form a precovering class in ZFC.
We find a different proof of the latter fact which, combined with infinite dimensional tilting theory, makes it possible to trace the phenomenon to all countable hereditary artin algebras R of infinite representation type: We prove that the class of all locally Baer R-modules is not precovering (joint work with A.Slávik).

27.6. Ivo Dell'Ambrogio (Univ. Regina, Canada): A HOMOTOPICAL LOOK AT CLASSICAL MORITA THEORY
Quite recently, Gonçalo Tabuada and I have noticed a rather amusing little fact: there is a very nice Quillen model structure on the category of small preadditive categories, such that two rings become isomorphic in its homotopy category if and only if they are Morita equivalent, in the usual sense. Even better, we can use this to provide conceptual links on Morita equivalence, Picard groups, the Grothendieck group and (working relative to a base commutative ring) the notion of Azumaya algebra.

25.6. Greg Stevenson (Univ. Bielefeld): CLASSIFICATION PROBLEMS FOR TRIANGULATED CATEGORIES

14.5. Jan Šťovíček (MFF UK): 2-CALABI-YAU CATEGORIES WITH A CLUSTER TILTING SUBCATEGORY

23.4. Jan Šťovíček (MFF UK): INFINITE CLUSTER CATEGORIES
Based on joint work with Adam-Christiaan van Roosmalen, I will present a class of examples of triangulated categories with a cluster tilting subcategory containing infinitely many indecomposable objects. Among these, there is a class of categories of infinite Dynkin type A, which admit a rather simple combinatorial description.

16.4. Alexander Kazda (MFF UK): USING ABSORBTION ON REFLEXIVE DIGRAPHS
We show new, shorter, proofs for some known results about algebras of operations on reflexive digraphs.

2.4. Adam-Christiaan van Roosmalen (Univ. Regina, Canada): T-STRUCTURES FOR HEREDITARY CATEGORIES

26.3. Jan Trlifaj (MFF UK): P-ADIC MODULES VERSUS UNIVERSAL MAPS (STRUCTURE OF 1-COTILTING MODULES OVER COMMUTATIVE NOETHERIAN RINGS)

19.3. Jan Šťovíček (MFF UK): TRIANGULATED QUOTIENTS OF THE DERIVED CATEGORY OF A VALUATION DOMAIN

5.3. Jan Trlifaj (MFF UK): TREE MODULES AND MITTAG-LEFFLER CONDITIONS

20.2. Luigi Salce (Univ. Padova): BICAN-GROUPS (ON THE OCCASION OF THE 70TH BIRTHDAY OF LADISLAV BICAN)

2011

19.12. Martin Markl (MU AVCR): DEFORMATIONS OF ALGEBRAS AND THEIR DIAGRAMS.
We will explain how to construct a cohomology theory governing deformations of algebras of specific types (associative, commutative, Lie, Poisson), and of diagrams of these algebras.
Our talk will emphasize the `practical' side and will focus on a `computational recipe' rather than an abstract theory. We will give many examples of deformation cohomology for algebras, morphisms of algebras and, more generally, diagrams of morphisms of algebras.

12.12. Jakub Bulín (MFF UK): ABSORBTION IN FINITE RELATIONAL STRUCTURES
The notion of absorbing subuniverse plays an increasingly important role in finite universal algebra and the algebraic approach to CSP. We will mention several applications of absorption and then discuss the following open problem: Given a finite relational structure A and a subset B of A, is it decidable if B is an absorbing subuniverse? We provide an affirmative answer in the case when A has bounded width (i.e., the algebra of polymorphisms of A generates a congruence meet-semidistributive variety). Our proof mimics the proof of Zadori's conjecture by Barto: the idea is to encode the problem as an instance of CSP(A).

5.12. Zbyněk Šír (MFF UK): CONSTRUCTIONS FOR PYTHAGOREAN HODOGRAPH CURVES

21.11. Alexandr Kazda (MFF UK): NEAR UNANIMITY IN POSETS AND GRAPHS

14.11. Jan Šaroch (MFF UK): ARONSZAJN TREES AND BERGMAN’S INVERSE SYSTEMS

31.10. Christopher C. Gill (MFF UK): TENSOR PRODUCTS OF YOUNG MODULES AND DECOMPOSITION NUMBERS FOR SYMMETRIC GROUPS

17.10. Jan Trlifaj (MFF UK): MAXIMAL COHEN-MACAULAY MODULES AND TILTING FOR REGULAR LOCAL RINGS
Hochster´s conjecture says that maximal Cohen-Macaulay modules exist over any complete local commutative noetherian ring. In 1973 the conjecture was proved for rings of Krull dimension at most 2, but it is still open in general.
Recently tilting classes over commutative noetherian rings have been classified in terms of specialization closed subsets of the Zariski spectrum and the Auslander-Bridger transpose.
In this talk we will show that existence of maximal Cohen-Macaulay modules yields an alternative description of the tilting classes, and derive some consequences for the structure of these modules using approximation theory.

4.8. Martin Zeman (Univ. California at Irvine, USA): ABSOLUTENESS OF THE CORE MODEL
Steel has proved that if there is no inner model with a Woodin cardinal then it is possible to constuct a canonical iner model, the core model, that reflects all information about large cardinals in the set theoretic universe. In a joint result with Caicedo we show that if M is any proper class innner model that interprets the cardinal successor function correctly on a proper class of regular cardinals, then M is able to figure out the core model, modulo some random information. We also give local version of the result and an application in descriptive set theory.

30.6. Frantisek Marko (Pen. State, Hazelton, USA): BIDETERMINANTS FOR SCHUR SUPERALGEBRAS

29.6. Alexander Zubkov (Omsk State Ped. Univ., Omsk, Russia): PSEUDOCOMPACT QUASI-HEREDITARY ALGEBRAS

29.6. Alex Martsinkovsky (North Eastern Univ., Boston, USA): 1-TORSION AND HORIZONTAL LINKAGE OF FINITE MODULES OVER SEMIPERFECT RINGS

27.5. Phill Schultz (Univ. Western Australia, Perth): DUALITIES FOR SELF-SMALL GROUPS
I use a class of dualities to describe the structure of mixed abelian groups G satisfying two finiteness conditions:
1. G has finite rank, i.e., G contains a free subgroup of maximal finite dimension;
2. G is self-small, i.e., the image of every homomorphism from G into a countable direct sum of copies of G is contained in finitely many of these copies.
(Joint work with S.Breaz).

23.5. Pavel Goralčík (Université de Rouen): EQUIMORPHIC DIVERSITY
The talk will address, for a variety of categories, the question of the numer of non-isomorphic objects that have isomorphic monoids of endomorphisms (joint work with M.Demlová and V.Koubek).

16.5. Jan Trlifaj (MFF UK): PURE CHAINS AND MITTAG-LEFFLER MODULES

12.5. David Pospíšil (MFF UK): CLASSIFICATION OF TILTING AND COTILTING CLASSES FOR COMMUTATIVE NOETHERIAN RINGS

2.5. Ruediger Goebel (Universitaet Duisburg-Essen): ABSOLUTELY RIGID FIELDS

18.4. Pierre Gillibert (ECC): CRITICAL POINTS BETWEEN STRONGLY CONGRUENCE-PROPER VARIETIES OF ALGEBRAS

11.4. Gabor Braun (Univ. Duisburg-Essen): PATHOLOGICAL DUAL GROUPS UNDER MARTIN'S AXIOM
Under Martin's axiom, the Baer--Specker group, Z^{\omega} has a large supply of dual groups, ie, groups of the form Hom(A,Z). These provide many pathological examples found by several authors. Eg, for every non-negative integer k, there is a reflexive group G, with G \cong G \oplus Z^n if and only if k divides n. There is also a group A whose nth dual is not an (n+1)st dual for all n.
All these are variations of the same construction, namely, a standard method to represent endomorphism rings adapted to dual groups. I will explain this technique, so the audience will be able to come up with its own pathological dual groups. Only basic knowledge of abelian groups is required to understand the lecture.

28.3. Jan Šťovíček (MFF UK): PROJECTIVE MODULES OVER NON-NOETHERIAN SEMILOCAL RINGS
In the talk, I will discuss a classification of tilting and cotilting classes over commutative noetherian rings, recently obtained jointly with Lidia Angeleri, David Pospisil and Jan Trlifaj. The classification is in terms of certain subsets of the Zariski spectrum of the corresponding ring.
To give a context, the tilting and cotilting modules in the talk are generalized infinitely generated versions of classical finite dimensional tilting and cotilting modules from representation theory. The main application of classical (co)tilting modules is that they give a precise description of homological similarities between different algebras (in terms of so-called derived equivalences). Although one can to some extent generalize these results even to our setting, the corresponding theory is in its infancy and will be mentioned only marginally. I will rather focus on the classification and some examples.

21.3. Pavel Příhoda (MFF UK): PROJECTIVE MODULES OVER NON-NOETHERIAN SEMILOCAL RINGS
It would be nice to understand the behavior of projective modules over a general ring. In general, it is not possible - for example any reduced monoid with an order unit can express a direct sum decompositions of finitely generated projective modules over a suitable ring. Even for some very classical examples it is not easy to give a classification of projective modules - for integers in number fields it means exactly to determine its ideal class groups.
For semilocal rings, the situation is rather different. K_0 of a semilocal ring was determined in the 90's by A. Facchini and D. Herbera. D. Herbera and I obtained a similar result for countably generated projective modules over noetherian semilocal rings. But the non-noetherian case is still not understood well. In this talk I will discuss examples (mostly due to D. Herbera) that can be obtained using pullbacks and a remarkable example of Gerasimov and Sakhaev - a semilocal ring having a non-finitely generated projective module with finitely generated factor modulo its Jacobson radical.

7.3. Martin Doubek (MFF UK): OPERADIC COHOMOLOGY
In many cases, algebras of a given type (e.g. associative, Lie,...) can be descr ibed as representations of an operad. The category of operads is non-abelian category carrying a model structure. Derived functor H of a certain functor Der(-,End_V) from this category provides a nice cohomology theory for algebras representing the given operad. Thus resolutions (cofibrant replacements) of operads are of interest. We review several results on construction and significance of these resolutions. In particular, we explain how resolution in the abelian category of operadic mod ules can be used to find a first order approximation for H.

3.3. Pedro Guil (Universidad de Murcia): HEREDITARY RINGS WITH FINITELY GENERATED COTORSION ENVELOPE
Let R be a left hereditary ring. We show that the left cotorsion envelope of R is finitely generated if and only if R is a semiperfect cotorsion ring. Our proof is based on set-theoretical counting arguments. We also discuss some possible extensions of this result as well as its connection with other open questions. (Joint work with Dilek Pusat. Izmir Institute of Technology, Turkey.)

28.2. Sergio Estrada (Universidad de Murcia): MODEL STRUCTURES ON CQCO(X) AND RELATED QUESTIONS
Let Qco(X) be the category of quasi-coherent sheaves on a scheme X. We will overview the recent results from [1] concerning the interlacing between model structures and cotorsion pairs of complexes of quasi-coherent sheaves. We will also recall the equivalence between the category Qco(X) and a certain category of diagrams of modules. Then we will consider the problem of finding nice generators of Qco(X): the existence of locally free, flat, and locally flat Mittag-Leffler generators of Qco(X).
[1] S.Estrada, P.Guil Asensio, M.Prest, J.Trlifaj: Model category structures arising from Drinfeld vector bundles, arXiv: 0906.5213v1.

2010

20.12. Christmas party

29.11. Daniel Herden (Univ. Duisburg-Essen): PRESCRIBING ENDOMORPHISM RINGS OF ALEPH_N-FREE GROUPS 2

22.11. Daniel Herden (Univ. Duisburg-Essen): PRESCRIBING ENDOMORPHISM RINGS OF ALEPH_N-FREE GROUPS 1
We want to investigate in ZFC the problem of constructing arbitrarily large aleph_n-free groups G (for a fixed natural number n) with End G = Z. Recall that G is aleph_n-free if every subgroup of size < aleph_n is free. By now it is folklore to construct such groups using additional set-theoretic axioms, most notably Jensen's diamond principle. If we insist on proving this result in ordinary ZFC, then the known arguments fail: Both Corner's method of adding algebraically independent elements and Shelah's Black Box provide for groups, which are at most aleph_1-free but always fail to be aleph_2-free. To overcome this obstacle we will present groundbreaking new combinatorial tools ready for application to a wide range of problems about aleph_n-free (n< omega) structures to be attacked and solved in the future. (Joint work with Ruediger Goebel and Saharon Shelah.)

15.11. Iva Špakulová (Univ. Muenster): RESIDUAL FINITENESS OF ONE-RELATOR GROUPS
We have proved that with probability tending to 1, a one-relator group with at least 3 generators and the relator of length n is residually finite, virtually residually (finite p)-group for all sufficiently large p, and coherent. In this talk I will describe generic models on one-relator groups, properties related to residual finiteness and known results also in the the case of one-relator groups with two generators. I will present tools used in the proof, coming from both combinatorial group theory and theory of Random Walks and Brownian motions. (Joint work with Mark Sapir.)

1.11. Pierre Gillibert (MFF, ECC): CRITICAL POINT BETWEEN VARIETIES OF ALGEBRAS

25.10. Jan Šaroch (MFF): THERE ARE MANY NONEUCLIDEAN PID’S IN Q[x]

18.10. Katrin Leistner (Univ. Duisburg-Essen): INFINITARY EQUIVALENCE OF ABELIAN GROUPS AND MODULES

14.10. Brian A. Davey (La Trobe University, Australia): COUNTING THE RELATIONS COMPATIBLE WITH AN ALGEBRA

11.10. Jan Trlifaj (MFF): TILTING FOR COMMUTATIVE NOETHERIAN RINGS

4.10. Ruediger Goebel (Univ. Duisburg-Essen): CELLULAR COVERS FOR R-MODULES AND VARIETIES OF GROUPS

23.9. Lutz Struengmann (Univ. Duisburg-Essen): ON UNIVERSAL GROUPS AND PROBLEMS BY BAER AND KULIKOV

27.5. Otto Kerner (Math.Inst., Heinrich Heine Univ. Duesseldorf): CLUSTER ALGEBRAS OF RANK 3

25.5. Jan Stovicek (ECC-MFF): ROSICKY'S CONJECTURE FAILS FOR THE KRONECKER ALGEBRA

24.5. Otto Kerner (Math.Inst., Heinrich Heine Univ. Duesseldorf): THE UNIVERSAL PARAMETRIZING SPACE FOR WILD HEREDITARY ALGEBRAS

10.5. Jan Trlifaj (MFF): 2-TILTING FOR REGULAR LOCAL RINGS: DIVISIBILITY, LOCALIZATION, AND BEYOND

3.5. David Pospisil (MFF): CLASSIFICATION OF TILTING CLASSES FOR 2-DIMENSIONAL REGULAR RINGS

26.4. Pierre Gillibert (MFF): AN INFINITE COMBINATORIAL STATEMENT WITH A POSET PARAMETER

19.4. Libor Barto (MFF): THE COMPLEXITY OF LIST HOMOMORPHISM PROBLEMS

12.4. Jan Trlifaj (MFF): THE NEEMAN-ROSICKY PROBLEM FOR (LOCALLY) GROTHENDIECK CATEGORIES

22.3. Pavel Prihoda (MFF): CLUSTER ALGEBRAS II

15.3. David Pospisil (MFF): CLUSTER ALGEBRAS I

8.3. R.McKenzie (Vanderbilt Univ.): PARALLELOGRAM TERMS, FINITELY RELATED CLONES, SPARSE RELATIONAL CLONES

22.2. Jan Stovicek (ECC): COTORSION PAIRS IN EXACT CATEGORIES AND APPLICATIONS

4.1. Jan Saroch (MFF UK): ON A UNIVERSAL DEFINITION OF Z IN Q

2009

14.12. Christmas party

30.11. David Pospisil (MFF UK): TILTING MODULES OVER REGULAR DOMAINS

23.11. Jan Trlifaj (MFF UK): KAPLANSKY CLASSES

16.11. Jan Stovicek (MFF UK): FUNCTOR VALUED INVARIANTS OF KNOTS, LINKS AND TANGLES

2.11. Pierre Gillibert (Univ. Caen): CRITICAL POINTS BETWEEN VARIETIES OF LATTICES

26.10. Pavel Prihoda (MFF UK): GENERALIZED LATTICES OVER LATTICE-FINITE ORDERS

19.10. L. van den Dries (Univ. Illinois): LOGARITHMIC - EXPONENTIAL SERIES

12.10. L. van den Dries (Univ. Illinois): MODEL THEORY OF REALS AND O-MINIMALITY

8.6. P. Růžička (MFF UK): THE BANACHEWSKI FUNCTION AND V(R) OF COUNTABLE VON NEUMANN REGULAR RINGS

26.5. Cora Stack (Inst. of Technology, Dublin): STRUCTURE OF NILPOTENT ALGEBRAS

22.5. Jindrich Zapletal (University of Florida / MU AVCR): SYSTEMATIZATION OF BOREL EQUIVALENCES AND DYNAMIC PROPERTIES OF GROUPS

21.5. Vojtěch Rödl (Emory University, USA): THE REGULARITY LEMMA AND ITS APPLICATIONS

11.5. Peter Mayr (Univ. Linz): ARE POLYNOMIAL CLONES OF MAL'CEV ALGEBRAS FINITELY RELATED?

27.4. Jan Trlifaj (MFF UK): MODULES DETERMINED BY THEIR ANNIHILATOR CLASSES

20.4. Jan Žemlička (MFF UK): NO LOOPS CONJECTURE

16.4. Tobias Kenney (Cambridge/UMB Banska Bystrica): GRAPHICAL ALGEBRAS (A NEW APPROACH TO CONGRUENCE LATTICES)

6.4. Jan Šťovíček (NUST Trondheim & MFF UK): SIGMA-COTORSION MODULES AND FIRST ORDER THEORIES VIA DERIVED CATEGORIES

23.3. Jan Trlifaj (MFF UK): ALMOST FREE MODULES VIA TENSOR PRODUCTS

16.3. J.Kortelainen (Univ. Oulu): ON THE STRUCTURE OF COMMUTATIVE CONTEXT-FREE LANGUAGES

9.3. Jan Šťovíček (NUST Trondheim & MFF UK): RELATIVE HOMOLOGICAL ALGEBRA AND HOMOTOPY CATEGORIES OF COMPLEXES

2.3. M. Tamer Kosan (GIT): EXCELLENT EXTENSIONS OF RINGS

9.2. Dolors Herbera (UA Barcelona): BIG PROJECTIVE MODULES OVER NOETHERIAN SEMILOCAL RINGS

5.1. Jan Trlifaj (MFF UK): DRINFELD VECTOR BUNDLES

2008

22.12. Christmas party

15.12. Miroslav Korbelář (MFF UK): SUBDIRECTLY IRREDUCIBLE COMMUTATIVE RADICAL RINGS

8.12. Pawel Idziak (Univ. Krakow): DECIDABILITY OF FIRST AND SECOND ORDER THEORIES OF ALGEBRAS

1.12. P. Guil Asensio (Univ. Murcia): INDECOMPOSABLE OBJECTS IN COTORSION THEORIES

24.11. S. Estrada Dominguez (Univ. Almeria and Univ. Murcia): QUILLEN MONOIDAL MODEL STRUCTURES FOR NONUNITAL ALGEBRAS

10.11. David Pospisil (MFF UK): COMMUTATIVE GORENSTEIN RINGS

3.11. David Pospisil (MFF UK): IWANAGA-GORENSTEIN RINGS

27.10. Alberto Facchini (Univ. Padova): MONOGENY CLASS, EPIGENY CLASS, UPPER PART, LOWER PART

13.10. Libor Barto (MFF UK): CONGRUENCE DISTRIBUTIVITY HAS BOUNDED WIDTH

6.10. Jan Trlifaj (MFF UK): DRINFELD MODULES

29.9. Roman Nedela (Slovenska akad. vied / Univ. Mateje Bela): RECENT PROGRESS IN MAP ENUNUMERATION

24.9. Otto Kerner (Heinrich Heine Univ. Duesseldorf): EXACT STRUCTURES IN THE CATEGORIES OF REGULAR MODULES OVER WILD HEREDITARY ALGEBRAS

22.9. Jan Šťovíček (NUST Trondheim & MFF UK): EXT-ORTHOGONAL PAIRS FOR HEREDITARY RINGS

9.6. Marcin Kozik (ECC & Univ. Jagel. Krakow): COMMON LOOPS IN SOME CD GRAPHS

26.5. L.Angeleri Huegel (Univ. Varese): RECOLLEMENTS INDUCED BY TILTING MODULES

19.5. Pavel Příhoda (MFF): PROJECTIVE MODULES OVER SEMILOCAL NOETHERIAN RINGS 2

12.5. Petar Marković (Univ.Novi Sad): COMPLEXITY OF THE CSP

5.5. Miroslav Korbelář (MFF UK): SUBSEMIRINGS OF THE FIELD OF RATIONAL NUMBERS

21.4. Jan Trlifaj (MFF UK): APPROXIMATIONS OVER GORENSTEIN RINGS

14.4. David Pospíšil (MFF UK): AUSLANDER-BUCHWEITZOVY APROXIMACE

7.4. Jan Trlifaj (MFF UK): AECS OF FINITE CHARACTER

19.3. Jan Stovicek (NTNU Trondheim): TILTING ABELIAN CATEGORIES

17.3. Jan Trlifaj (MFF UK): SOCLE FINITENESS OF THE LOCAL COHOMOLOGY

3.3. Pavel Prihoda (MFF UK): MONOGENY DIMENSIONS OF MODULE HOMOMORPHISMS

25.2. J.D.Phillips (Wabash College, USA): A FEW HARD PROBLEMS FROM LOOP THEORY... BUT NOT FOR THE COMPUTER!

2007

10.12. Jan Trlifaj (MFF UK): ON HUNEKE'S CONJECTURE FOR LOCAL COHOMOLOGY

3.12. Jan Trlifaj (MFF UK): ABSTRACT ELEMENTARY CLASSES OF MODULES

26.11. Tamer Koşan (Gebze Inst. of Technology, Turkey): EXTENSIONS OF RINGS HAVING MCCOY CONDITION

20.11. Simion Breaz (Babes-Bolyai Univ., Cluj-Napoca): ABELIAN GROUPS WITH THE SAME ORTHOGONAL CLASSES

19.11. Ciprian Modoi (Babes-Bolyai Univ., Cluj-Napoca): CELLULAR APPROXIMATIONS IN ABELIAN CATEGORIES

12.11. Marcin Kozik (ECC a Jagelonska Univ. Krakow): IN THE DIRECTION OF THE CSP DICHOTOMY FOR TREES; THE SPECIAL TRIADS

29.10. Stelios Charalambides (NTNU Trondheim): UNIFORM MODULES RELATIVE TO A TORSION THEORY

22.10. Jan Trlifaj (MFF UK): ALMOST HEREDITARY RINGS (SOLUTION TO GREGORIO'S PROBLEM)

15.10. Miklos Maróti (University of Szeged): BOUNDED WIDTH ALGEBRAS IN CONGRUENCE DISTRIBUTIVE VARIETES

8.10. Aleš Drápal (MFF UK): NEW FOUNDATIONS FOR BASIC LOOP THEORY

1.10. Libor Barto (MFF UK): CONSTRAINT SATISFACTION PROBLEM: DICHOTOMY FOR SMOOTH DIGRAPHS

24.9. Otto Kerner (Heinrich Heine Univ. Duesseldorf): CLUSTER TILTED ALGEBRAS OF RANK 3

14.5. John Boxall (Universite de Caen): CLASS INVARIANT HOMOMORPHISMS FOR TORI AND ABELIAN VARIETIES

25.4. Andrei Marcus (Babes-Bolyai Univ., Cluj-Napoca): MORITA EQUIVALENCES INDUCED BY BIMODULES OVER HOPF-GALOIS EXTENSIONS

23.4. Pawel Idziak (Jagelonian Univ., Krakow): NUMERICAL INVARIANTS FOR VARIETES

23.4. Andrei Marcus (Babes-Bolyai Univ., Cluj-Napoca): EQUIVALENCES OF CATEGORIES IN MODULAR REPRESENTATION THEORY OF FINITE GROUPS

16.4. David Pospíšil (MFF UK): TILTING AND COTILTING MODULES OVER 1-GORENSTEIN RINGS

10.4. J. Šťovíček (NUST Trondheim & MFF UK): THE TELESCOPE CONJECTURE FOR ARTIN ALGEBRAS WITH VANISHING TRANSFINITE RADICAL

2.4. P. Příhoda (CRM IEC & MFF UK): PROJECTIVE MODULES OVER GENERALIZED WEYL ALGEBRAS

26.3. E.Chibrikov (Math.Inst., Novosibirsk): RIGHT-NORMED BASIS FOR FREE LIE ALGEBRAS AND LYNDON-SHIRSHOV WORDS

19.3. David Pospíšil (MFF UK): TILTING MODULES OVER COMMUTATIVE RINGS

5.3. Jan Trlifaj (MFF UK): MODULES OVER COMMUTATIVE GORENSTEIN RINGS

26.2. Jan Trlifaj (MFF UK): SEMI-BAER MODULES OVER GOLDIE RINGS

19.2. Libor Barto (MFF UK): BASKETS OF ESSENTIALLY ALGEBRAIC CATEGORIES

8.1. Marcin Kozik (ECC): COMPUTATIONAL COMPLEXITY IN UNIVERSAL ALGEBRA

2006

18.12. CHRISTMAS PARTY

4.12. Petr Somberg (MU, MFF UK): SYMMETRY ALGEBRAS OF (INVARIANT) DIFFERENTIAL OPERATORS

27.11. Jan Trlifaj (MFF UK): ABSTRACT ELEMENTARY CLASSES OF ROOTS OF EXT

20.11. Jan Žemlička (MFF UK): SELF-SMALL MODULES

13.11. Jan Šťovíček (NUST Trondheim & MFF UK): DEFINABILITY OF SIGMA-COTORSION MODULES

6.11. Miroslav Korbelář (MFF UK): EGGERT'S CONJECTURE

30.10. Marina Semenova (Mat. Inst., Univ. Novosibirsk): EMBEDDING LATTICES INTO CONVEXITY LATTICES OF TREE

23.10. Marina Semenova (Mat. Inst., Univ. Novosibirsk): EMBEDDING LATTICES INTO SUBSEMIGROUP LATTICES (A SURVEY)

16.10. Jan Šaroch: TELESCOPE CONJECTURE AND COTORSION PAIRS OF FINITE TYPE

9.10. Jan Trlifaj: RELATIVE BAER MODULES

8.9. Otto Kerner (Heinrich Heine Univ. Düsseldorf) CLUSTER TILTED ALGEBRAS OF RANK 3

15.5. Libor Barto: THE CATEGORY OF VARIETIES IS ALG-UNIVERSAL

24.4. G. Landsmann (RISC, Univ. Linz): D-MODULES AND THE WEYL ALGEBRA

10.4. Jan Šťovíček (NUST Trondheim & MFF UK): SIGMA-KOTORZNÍ MODULY A DEFINOVATELNOST

3.4. Lidia Angeleri Huegel (Univ. del'Insubria, Varese): A KEY MODULE OVER PURE-SEMISIMPLE HEREDITARY RINGS

31.3. P. Marković (Univ. Novi Sad): FINITE ALGEBRAS WITH FEW SUBPOWERS ARE TRACTABLE

27.3. Jiří Tůma: FINITE INTERVALS IN THE SUBGROUP LATTICES OF LOCALLY FINITE GROUPS

13.3. Pavel Růžička: FREE TREE AND WEHRUNG'S THEOREM

9.3. Rüdiger Göbel (Univ. Duisburg-Essen): ABSOLUTELY RIGID MODULES

27.2. Pavel Příhoda: BIG PROJECTIVE MODULES OVER SEMILOCAL NOETHERIAN RINGS

20.2. Jan Trlifaj: THE STRUCTURE OF STRONGLY FLAT MODULES OVER VALUATION DOMAINS

9.1. Jan Trlifaj: BAER MODULES

2.1. Jan Šťovíček (MFF UK Praha & NUST Trondheim): A GENERALIZATION OF THE KAPLANSKY THEOREM ON DECOMPOSITION OF PROJECTIVE MODULES

2005

19.12. CHRISTMAS PARTY

12.12. Jaroslav Ježek: SLIM GROUPOIDS

5.12. Pavel Růžička: 60 LET CLP

28.11. Pavel Příhoda: N-KOSOUVISLÉ ALGEBRY

21.11. Jan Trlifaj: HILLOVO LEMMA A JEHO DŮSLEDKY

14.11. Václav Flaška: ZS-POLOOKRUHY

7.11. Aleš Drápal: ALGEBRAICKÉ A GEOMETRICKÉ ASPEKTY LATINSKÝCH ZÁMĚN

24.10. Jan Šťovíček (MFF UK Praha & NUST Trondheim): KONEČNÝ TYP VYCHYLUJÍCÍCH TŘÍD

17.10. Jan Šaroch: ÚPLNOST KOTORZNÍCH PÁRŮ A TELESKOPICKÁ HYPOTÉZA

10.10. Jan Trlifaj: TRANSFER VYCHYLUJÍCÍCH TŘÍD

23.5. Pavel Příhoda: PROJECTIVE MODULES HAVING FINITELY GENERATED RADICALFAKTORMODUL

16.5. Vladimír Souček: LIE ALGEBRA HOMOLOGY AND MACDONALD-KAC FORMULAS

2.5. Otto Kerner (Heinrich-Heine Univ. Duesseldorf): REPRESENTATIONS OF WILD HEREDITARY ALGEBRAS

26.4. Wolfgang Windsteiger (Johannes-Kepler-Univ. Linz): A SYSTEM FOR MATHEMATICAL THEORY EXPLORATION

25.4. Septimiu Crivei (Babes-Bolyai Univ. Cluj): GRUSON-JENSEN DUALITY FOR IDEMPOTENT RINGS

19.4. Simion Breaz (Babes-Bolyai Univ. Cluj): SELF-SMALL ABELIAN GROUPS OF FINITE TORSION FREE RANK

18.4. Aleš Drápal: CC-LOOPS, CODES, AND THE MONSTER

11.4. C. Hollanti (Univ. Turku and Turku Centre for Comp. Sci): APPLICATIONS OF CYCLIC ALGEBRAS AND ORDERS IN SPACE-TIME CODING

4.4. Jan Trlifaj: ALL TILTING MODULES ARE OF COUNTABLE TYPE

22.3. Pierre Matet (Universite de Caen): HALES-JEWETT THEOREM

21.3. Petr Somberg: LIE ALGEBRA COHOMOLOGY

14.3. Bálint Felszeghy (Univ. of Techn. and Economy, Budapest): THE LEX GAME

7.3. Jan Trlifaj: COTILTING MODULES ARE PURE-INJECTIVE (IN ZFC)

28.2. Pavel Příhoda: MATLIS PROBLEM OVER HEREDITARY RINGS

10.1. Jan Šaroch: VYCHYLUJÍCÍ A KOVYCHYLUJÍCÍ MODULY A GÖDELŮV AXIOM KONSTRUOVATELNOSTI

2004

13.12. Tomáš Kepka: PROBLÉM Z TEORIE ČÍSEL

6.12. Petr Vojtěchovský: ROZŠÍŘENÍ ZALOŽENÁ NA STEINEROVÝCH TROJICÍCH

22.11. Jan Trlifaj: TIGHT SYSTEMS FOR MODULES OF PROJECTIVE DIMENSION 1

15.11. Jan Žemlička: IDEMPOTENTS IN STEADY RINGS

8.11. Pavel Příhoda: THE WEAK KRULL-SCHMIDT THEOREM FOR INFINITE DIRECT SUMS OF UNISERIAL MODULES

1.11. Pavel Růžička: APPLICATIONS OF UNIFORM REFINEMENT PROPERTIES SEMILATTICES

25.10. Jiří Tůma: ON SIMULTANEOUS REPRESENTATIONS OF DISTRIBUTIVE SEMILATTICES

18.10. Rüdiger Göbel (Univ. Duisburg-Essen): GROUPS HAVING A SIMPLE AUGMENTATION IDEAL IN THEIR GROUP RINGS

11.10. Jan Trlifaj: GAMMA-SEPARATED COVERS

4.10. Volkmar große Rebel (Univ. Dortmund): GENERALIZED TETRAHEDRON GROUPS AND THE TITS ALTERNATIVE

14.5. Franz Winkler (Techn. Univ. Linz): APPLICATION OF SYMBOLIC COMPUTATION TO ROBOTICS

11.5. Franz Winkler (Techn. Univ. Linz): APPLICATION OF SYMBOLIC COMPUTATION TO ROBOTICS

11.5. Franz Winkler (Techn. Univ. Linz): TOPICS IN GROEBNER BASES

10.5. Franz Winkler (Techn. Univ. Linz): ALGEBRAIC GEOMETRIC COMPUTATION

3.5. Jan Trlifaj: MATLISOVY LOKALIZACE

26.4. David Stanovský: LINEÁRNÍ TEORIE GRUPOIDŮ

16.4. Shmuel Zelikson (Universite de Caen): REPRESENTATION THEORY OF FINITE DIMENSIONAL LIE ALGEBRAS

15.4. Shmuel Zelikson (Universite de Caen): REPRESENTATION THEORY OF FINITE DIMENSIONAL LIE ALGEBRAS

5.4. Jaroslav Ježek: DEFINOVATELNOST PRO KOMUTATIVNÍ GRUPOIDY

29.3. Jan Trlifaj: MODULY NAD DĚDIČNÝMI KONEČNĚ-DIMENZIONÁLNÍMI ALGEBRAMI

22.3. Pavel Příhoda: SPOČETNÉ DIREKTNÍ SUMY UNISERIÁLNÍCH MODULŮ NAD (ZPRAVA) ŘETĚZCOVÝMI OKRUHY

15.3. Otto Kerner (Math. Inst., Heinrich-Heine-Universitaet Duesseldorf): GABRIEL'S THEOREM

2003

15.12. Christmas party

8.12. D. Donovan (Univ. Queensland): ON MINIMAL DEFINING SETS FOR STEINER TRIPLE SYSTEMS

1.12. Fred Wehrung (Univ. Caen): IDEAL LATTICES OF REGULAR RINGS WITH FINITE STABLE RANK

27.11. M. Ploscica (Math. Inst. SAS, Kosice): CONGRUENCE LATTICES OF ALGEBRAS IN CD-VARITIES

24.11. K. Rangaswami (Univ. Colorado): ON TORSION-FREE MODULES OF FINITE RANK OVER DISCRETE VALUATION DOMAINS

20.11. E. Blagoveshchenskaya (St. Petersburg): THE BAER-KAPLANSKY THEOREM AND ITS CONSEQUENCES FOR SOME ALMOST COMPLETELY DECOMPOSABLE GROUPS

10.11. Fred Wehrung (Univ. Caen): THE COMPLEXITY OF VON NEUMANN'S COORDINATIZATION

3.11. Fred Wehrung (Univ. Caen): SUBLATTICES OF BIALGEBRAIC LATTICES

20.10. V. Shcherbakov (Chisinau): ON N-ARY QUASIGROUPS AND SOME OF THEIR APPLICATIONS

13.10. Jan Trlifaj: TILTING AND COTILTING MODULES OF HOMOLOGICAL DIMENSION ONE

6.10. Pavel Prihoda: V(M) OF A SERIAL MODULE OF FINITE GOLDIE DIMENSION (A generalization of the Weak Krull-Schmidt Theorem)

23.5. Patrick Dehornoy (University of Caen, Francie): BRAID-BASED CRYPTOGRAPHICAL SCHEMES

22.5. Patrick Dehornoy (University of Caen, Francie): BRAID GROUPS AND BRAID ALGORITHMS

5.5. Slavnostní seminář u příležitosti 65. narozenin docenta Ladislava Berana

7.4. Jaroslav Ježek: O KVAZIIDENTITÁCH A PODOBNÝCH VĚCECH

3.3. P. P. Pálfy: ON THE ISOMORPHISM PROBLEM OF CAYLEY GRAPHS

24.2. Csaba Schneider (Univ. of Western Australia, Perth): PERMUTATION GROUPS AND CARTESIAN DECOMPOSITIONS

2002

18.11. Jaroslav Ježek

11.11. Tomáš Kepka: COMMUTATIVE RADICAL RINGS

4.11. Robert El Bashir: COREFLECTIONS AND THEIR GENERALIZATIONS

21.10. P.CSörgö (Budapest): SUPER SOLUBLE GROUPS

24.6. Kenneth Johnson (Pensylvania State University): GROUP REPRESENTATION THEORY BY THE HISTORICAL ROUTE

19.6. Friedrich Wehrung (Univ. Caen): SOLVING ALGEBRAIC PROBLEMS WITH BOOLEAN VALUED MODELS IV

18.6. Friedrich Wehrung (Univ. Caen): SOLVING ALGEBRAIC PROBLEMS WITH BOOLEAN VALUED MODELS III

13.6. John Boxall (Univ. Caen): ELLIPTIC CURVES IN CRYPTOGRAPHY II

12.6. John Boxall (Univ. Caen): ELLIPTIC CURVES IN CRYPTOGRAPHY I

12.6. Friedrich Wehrung (Univ. Caen): SOLVING ALGEBRAIC PROBLEMS WITH BOOLEAN VALUED MODELS II

11.6. Friedrich Wehrung (Univ. Caen): SOLVING ALGEBRAIC PROBLEMS WITH BOOLEAN VALUED MODELS I

13.5. P. Příhoda: ÚPLNÉ AFINNÍ POLOGRUPY

6.5. J.Trlifaj: STRUKTURA LIM P1 (ŘEŠENÍ FUCHSOVA PROBLÉMU 22)

29.4. W. Holubowski (Tech. Univ. Gliwice): FREE GROUPS OF INFINITE UNITRIANGULAR MATRICES

22.4. František Matúš (UTIA Praha): PODMÍNĚNÁ ZÁVISLOST V GAUSOVSKÝCH VEKTORECH A IDEÁLY POLYNOMŮ

15.4. Jiří Rosický (Masarykova Univerzita v Brně): KOTORZNÍ TEORIE A MODELOVÉ KATEGORIE

25.3. Oldřich Kowalski (MFF UK): O JEDNOM KOMBINATORICKÉM PROBLÉMU SPOJENÉM SE STUDIEM HOMOGENNÍCH GEODETIK NA LIEOVÝCH GRUPÁCH S INVARIANTNÍ METRIKOU

18.3. László Fuchs (Tulane University): TORSION-FREENESS FOR RINGS WITH ZERO DIVISORS

25.2. Lidia Angeleri Hügel (LMU, Mnichov): THE AUSLANDER-REITEN FORMULA

7.1. Štěpán Holub: LINEAR SIZE TEST SETS FOR CERTAIN COMMUTATIVE LANGUAGES

2001

17.12. Jan Trlifaj: APPROXIMATIONS AND INVERSE LIMITS

10.12. Thomas Kucera (Univ. of Manitoba): INJECTIVE ENVELOPES AND THE AXIOM OF CHOICE

3.12. Tomáš Kepka: KOMUTATIVNÍ RADIKÁLOVÉ OKRUHY

26.11. Fred Wehrung (Univ. Caen): DIMENSIONS OF MODULAR AND NON-MODULAR LATTICES

19.11. Jiří Velebil (FEL ČVUT): REFLECTIVE AND COREFLECTIVE SUBCATEGORIES OF PRESHEAVES

12.11. Marina Semenova (Matematicheskij Institut, Univ. Novosibirsk):    IRREDUNDANT DECOMPOSITIONS IN COPLETE LATTICES

29.10. Jan Žemlička:    CONSTRUCTIONS OF SEMIARTINIAN RINGS

22.10. Robert El Bashir:    COVERING MORPHISMS OF MODULES

11.10. Otto Kerner (Heinrich Heine Univ. Duesseldorf):    WILD HEREDITARY ALGEBRAS 2

8.10. Otto Kerner (Heinrich Heine Univ. Duesseldorf):    WILD HEREDITARY ALGEBRAS 1

4.10. David Bedford (Univ. of Keele, Great Britain):    DEFINING SETS FOR GROUPS BASED LATIN SQUARES

19.9. M.Dokuchaev (Univ. Sao Paolo):    PARTIAL ACTIONS OF GROUPS, PARTIAL GROUP RINGS AND CROSSED PRODUCTS

14.6. Miklos Maroti (Vanderbilt University):    THE VARIETY GENERATED BY TOURNAMENTS

4.6. Juha Kortelainen (University of Oulu):    ON FINITENESS CONDITIONS FOR SEMIGROUPS

21.5. Alexander Elashvili :    ABOUT INDEX OF FINITE DIMENSIONAL LIE ALGEBRAS

14.5. Jaroslav Ježek :    NOVĚJŠÍ VÝSLEDKY O VARIETĚ GENEROVANÉ TURNAJI

20.4. Patrick Dehornoy (Univ. Caen):    COMPLETE SEMIGROUP PRESENTATIONS

9.4. T.Kepka :    ROZŠÍŘENÍ KONEČNĚ GENEROVANÝCH KOMUTATIVNÍCH OKRUHŮ

2.4. V. Dlab (Carleton Univ., Ottawa):    STANDARDNĚ KOSZULOVY ALGEBRY

26.3. L.G.Kovacs (ANU, Canberra):    MODULE STRUCTURE OF FREE LIE ALGEBRAS

19.3. Jan Trlifaj :    VYCHYLUJÍCÍ MODULY A FINITISTICKÉ DIMENZE

12.3. Tomáš Kepka :    RADIKÁLOVÉ OKRUHY

5.3. Lidia Angeleri Hügel (LMU, Mnichov):    COVERS AND ENVELOPES VIA ENDOPROPERTIES

26.2. Jaroslav Ježek:    NĚKTERÉ KOMBINATORICKÉ STRUKTURY

2000

4.12. Aleš Drápal:    SÍLA ORBIT

27.11. Jan Žemlička:    UNISERIÁLNÍ MODULY NAD ŘETĚZOVÝMI OKRUHY

20.11. Jan Trlifaj:    THE FINITISTIC DIMENSION CONJECTURES

13.11. Pavel Růžička:    MAXIMAL SEMILATTICE QUOTIENTS OF DIMENSIONAL GROUPS

6.11. Jiří Tůma:    DIMENZNÍ GRUPY

30.10. Simone Wallutis: "The lattice of cotorsion theories is chaotic"

23.10. Robert El Bashir: "Čistoty a pokrytí"

16.10. Tomáš Kepka:

9.10. Jan Trlifaj: "Whitheadův problém v dimenzi 2"

29.5. "SLAVNOSTNÍ SEMINÁŘ U PŘÍLEŽITOSTI SEDMDESÁTÝCH NAROZENIN PROFESORA LADISLAVA PROCHÁZKY"

17.4. Jan Trlifaj: "KOTORZNÍ MODULY"

10.4. Ladislav Beran: "KREJČOVSKÉ DÍLO V TEORII SVAZŮ"

3.4. Alexander Elashvili: "A MAXIMAL COMMUTATIVE SUBALGEBRA OF THE MATRIX C-ALGEBRA"   

27.3. Alexander Elashvili:    A CLASSIFICATION OF TRIVECTORS OF 9-DIMENSIONAL C-SPACE, 2

20.3. Alexander Elashvili:    A CLASSIFICATION OF TRIVECTORS OF 9-DIMENSIONAL C-SPACE, 1

13.3. Tomáš Kepka:   KVAZIGRUPY DUÁLNÍCH ZLOMKŮ A KOREFLEXE

6.3. M. Hušek:   CHARAKTERIZACE MODULŮ, KTERÉ TVOŘÍ ÚPLNOU PODKATEGORII ABELOVSKÝCH GRUP

28.2. Tomáš Kepka:   HAMILTONOVSKÉ TRIMEDIÁLNÍ KVAZIGRUPY

1999

13.12. Robert El Bashir:   THE DENSITY OF PURE SUBMODULES

6.12. Jiří Tůma:   REPREZENTACE DISTRIBUTIVNÍCH POLOSVAZU IDEÁLY LOKÁLNĚ MATICOVÝCH ALGEBER

29.11. Jaroslav Ježek: VARIETA GENEROVANÁ USPOŘÁDANÝMI MNOŽINAMI

22.11. Fred Wehrung:  DIMENSION THEORY OF PARTIALLY ORDERED SYSTEMS WITH ORTHOGONALITY

  8.11. Tomáš Crhák: REALIZACE SIMPLICIÁLNÍCH MNOŽIN POMOCÍ LOKÁLNĚ KONVEXNÍCH ALGEBER

25.10. Enrico Vitale: LOCALIZATIONS: FROM PRESHEAVES TO VARIETIES

18.10. Tomáš Kepka: SOUBLINUV PROBLÉM A JEHO ŘEŠENÍ

11.10. Jan Trlifaj: PRECOVERS INDUCED BY EXT

4.10. Alexander Elashvili: A CLASSIFICATION OF THE PRINCIPAL NILPOTENT PAIRS IN SIMPLE LIE ALG.

27.9. Paul C. Eklof: THE STRUCTURE OF EXT (A, Z) WHEN HOM (A, Z) = 0

14.6. Ján Mináč:IS THE COHOMOLOGY OF GROUPS USEFUL IN DAILY LIFE?

26.5. Cristina Pedicchio: EXACTNESS CONDITIONS OF VARIETIES AND QUASIVARIETIES OF ALGEBRAS

17.5. Manfred Droste: HOMOGENEOUS STRUCTURES IN ALGEBRA AND COMPUTER SCIENCE

10.5. M. Hušek: PRODUCTIVITY OF COREDUCTIVE CLASSES OF TOPOLOGICAL GROUPS

3.5. Vlastimil Dlab: THE CONCEPT OF STRACIFICATION OF ALGEBRAS

26.4. Tomáš Kepka: FRACTIONS AND DUAL FRACTIONS

19. 4. Ladislav Bican: ALMOST PRECOVERS

12.4. Juha Kortelainen: ON TEST SETS AND WORLD EQUATIONS

29.3. Jan Trlifaj: LARGE INDECOMPOSABLE ROOTS OF EXT

22.3. Jiří Tůma: SIMULTÁNNÍ REPREZENTACE DISTRIBUTIVNÍCH SVAZU

8.3. Pavel Růžička:REALIZACE DISTRIBUTIVNÍCH SVAZŮ JAKO SVAZU IDEÁLU VON NEUMANNOVSKY

REGULÁRNÍCH OKRUHU

1.3. Lawrence Somer:PSEUDOPRIMES, PERFECT NUMBERS,AND A PROBLEM OF LEHMER

1998

25.05. Markus Schmidmeier: Knots, tensor product, and modules over quantum groups

18.05. Ladislav Bican: Ultraproducts of Butler groups

11.05. Jan Trlifaj: Tilting preenvelopes and cotilting precovers

04.05. Petr Vojtěchovský: On distances of cyclic groups

27.04. Štěpán Holub:Words, subwords and their powers

20.04. Alberto Tonolo (Univ. Padova): On complementarity of quasi-tilting triples

06.04. Aleš Drápal: Distances of 2-groups

30.03. Vlastimil Dlab (Carleton Univ., Ottawa): On stratifications of algebras

23.03. Jan Trlifaj: Cotilting and a hierarchy of almost cotorsion groups

16.03. Ladislav Beran: On covering in lattices

09.03. Tomáš Kepka: Simple non-commutative semirings

02.03. Robert El Bashir: Semirings of positive elements

23.02. Jaroslav Ježek: Minimal big lattices

05.01. Jaroslav Ježek: The variety generated by tournaments

1997

15.12. Aplikace (výjezdní seminář, v laboratoři KA)

8.12. L. Bican: Precovers

01.12. J. Krempa(Univ. Warsaw): Lattice approach to uniform dimension

24.11. O. Gorbačuk(Univ. Lviv): Spiliting torsion in categories of modules and differential closed fields

17.11. T. Kepka: Products of Abelian groups and radical rings

10.11. M. Schmidmeier: Artinian PI-rings witch are not artin algebras

03.11. L. Beran: Lattice Meanders

27.10. W. Zimmermann(LMU, Muenchen): Modules which acc for finite matrix subgroups

20.10. J. Trlifaj: Dimension sequences for semiartinian regular rings

13.10. L. Angeleri Huegel (LMU, Muenchen): On a preprojective module describing the underlying algebra

06.10. Tomáš Kepka: The Hoelder-Cartan-Hilbert-Chion-Tallini Theorm

23.06. William Lampe (University of Hawaii): Lattice Representations in General Algebra

19.05. A. Elashvili (Math. Inst. Georg. Acad.Sci.): A classification of zero-compact nilpotent elements in simple Lie Algebras

12.05. J. Žemlička: Steadiness in certain classes of rings

05.05. J. Trlifaj: Cofinal decreasing chains in modules

28.04.  A.  Elashvili (Math. Inst. Georg. Acad. Sci.): Hermite receprocity for regular representations of cyclic group