Algebraický seminář
Marc Stephan (MPI-CBG and TU Dresden): Regular sequences and level inequalities
Abstract: Regular sequences in commutative algebra play a central role controlling homological invariants. Triangulated categories provide a unifying framework for homological algebra. In many important examples, they carry an action of a graded commutative ring, such as the group cohomology or Hochschild cohomology ring.
I will explain how to systematically define and study regular sequences in this general setting, extending results from commutative algebra and previous notions of regular sequences in stable homotopy theory and group cohomology. As applications, I will discuss generalizations of level inequalities due to Avramov, Buchweitz, Iyengar, and Miller, and strengthening of lower bounds for Rouquier dimension.
This is joint work with Antonia Kekkou and Janina Letz.
April 13 - Leonid Positselski (IM CAS): TBA
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 GACR. It serves primarily as a platform for presentation of recent research of the visitors to the Department of Algebra as well as members of the Department and their students.
