Algebra seminar
Gopinath Sahoo (Indian Stat. Inst., Bangalore): Tensor t-structures, perversity functions, and weight structures
Abstract: For a Noetherian scheme X admitting a dualizing complex, Bezrukavnikov-Deligne and independently Gabber and Kashiwara showed that any monotone comonotone perversity function on X gives rise to a t-structure on the bounded derived category of X. In a recent preprint (arXiv:2412.18009), we introduced the notion of tensor t-structures via the action of perfect complexes on the bounded derived category, and proved that these coincide exactly with those coming from perversity functions. This work builds on our earlier results on t-structures for unbounded derived categories of Noetherian schemes. In this talk, I will explain how these results are related and briefly review their history.
December 1 - Chiara Sava (MFF UK): Differential graded algebras in differential categories
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.
