Ilya Smirnov (MFF UK): Some improvements of Lech's inequality
Abstract: In 1960, Lech found an inequality connecting two basic invariants of an m-primary ideal of a local ring R: colength and multiplicity. Lech observed that his inequality is never sharp in dimension at least two. In my talk, I will explain why Lech's inequality is natural and present several improvements.
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.