ALGEBRA SEMINAR

Current seminar: Monday, May 22nd, 15:30-16:30, the seminar room of KA (319/334)

Pavel Coupek:
1-COTILTING SHEAVES ON CURVES
Forthcoming:

June 5th, 2 pm - 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.



Previous program: 2017, 2016, 2015, 2014, 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003, 1997-2002.


The Algebra Seminar was founded by Vladimir Korinek in the early 1950's and continued by Karel Drbohlav until 1981. The seminar resumed its activities in 1990 under the guidance of Jaroslav Jezek and Tomas Kepka. Since 1994, the seminar is headed by Jan Trlifaj.

Presently, the seminar is supported by ECI and GACR. It serves primarily as a platform for presentation of recent research of the visitors to the ECI and to the Department of Algebra, as well as members of the Department and their students.