Algebraický seminář
Sebastian Opper (MFF UK): Derived Morita theory for enriched categories
Abstract: The Morita model structure allows one to understand the homotopical properties of the Morita theory of derived categories of algebras and dg categories. This and similar model structures can be used to provide universal properties to constructions such as the category of perfect complexes of a dg category or a categorical interpretation of the Brauer group in commutative algebra. I will present a unified construction for such Morita model structures in a broad setting. At its center lies a homotopical notion of Cauchy completion for enriched categories which plays the same role as the category of perfect complexes of a dg category and the idempotent completion of an ordinary category. Based on joint work with Jordan Williamson.
09.11. (5:20 pm, K11) - Lucas Toury (IRMA Strasbourg): Title: Hall algebra of directed graphs
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.
