Monday, January 13th, 15:30 - 16:30, the seminar room of KA (319/334)
Leonid Positselski (IM CAS):
PRECOVERS AND COVERS OF DIRECT LIMITS OF MODULES AND CONTRAMODULES
Abstract: There are two main results to be explained in this talk: 1. a simple
elementary proof of the Enochs conjecture for the left class of an n-tilting
cotorsion pair in a Grothendieck category, and 2. a direct limit of projective
contramodules is projective if it has a projective cover. Both results are
obtained from an argument about precovers and covers of direct limits,
based on considerations of local splitness. This talk is based on a joint
work with Silvana Bazzoni and Jan Stovicek.
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.