Monday, November 20th, 15:30 - 16:30, the seminar room of KA (319/334)
Jakub Kopřiva (MFF UK):
PULLBACKS OF FINITELY GENERATED ALGEBRAS OVER COMMUTATIVE NOETHERIAN RINGS
Abstract: The problem whether the
pullback of two finitely generated algebras over a Noetherian commutative
ring is finitely generated arises from the study of existence of pushouts
of affine algebraic varieties. The problem can be easily reduced to asking
when two types of subalgebras of a finitely generated algebra are finitely
generated. In this talk, I will give a complete description of finitely
generated subalgebras of one type and use it to show that some special
subalgebras of the other type are finitely generated. I will also discuss
local properties of said pullbacks and some examples from algebraic
November 27th - Leonid Positselski (Univ. Haifa): STRONGLY FLAT MODULES W.R.T. SEVERAL MULTIPLICATIVE SUBSETS
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.