Algebraický seminář
Isaac Bird (MFF UK): A non-monoidal homological spectrum
Abstract: I will introduce a construction which, by generalising the Homological spectrum of Balmer-Krause-Stevenson, provides a topological space parametrising certain thick subcategories of compact objects in an arbitrary compactly generated triangulated category. Through examples, I will relate this topological space to other non-monoidal analogues of the Balmer spectrum, given by Gratz-Stevenson, Krause, and Matsui. In the case of a big tensor-triangulated category, I will relate show how this space related to the Balmer spectrum. This talk is based on joint work with Jordan Williamson and Alexandra Zvonareva.
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.