Algebra seminar
Leonid Positselski (IM CAS): Compact generators of the contraderived category of contramodules
Abstract: Let \R be a topologically right coherent left linear topological ring with a countable base of neighborhoods of zero. Then the Becker contraderived category of left \R-contramodules is compactly generated. The full subcategory of compact objects is anti-equivalent to the bounded derived category of finitely presented discrete right \R-modules. I will explain the construction of the contravariant functor from the bounded derived category of finitely presented discrete right modules to the homotopy category of complexes of projective left contramodules, which is based on a study of projective objects in the abelian category of countably indexed pro-objects in finitely presented discrete right modules.
May 5 - Giovanna Le Gros (MFF UK): 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.