Algebraický seminář
June Maillard (MFF UK): Compact and dualizable objects in categories of torsion and complete objects
Abstract: In a tensor-triangulated category with an action of a ring R, every ideal of R (and more generally, every specialization-closed subset of Spec R) defines two equivalent localizing monoidal subcategories: on torsion and complete objects. From a tt-geometry point of view, their thick subcategories of dualizable objects appear as the most obvious choice of small thick monoidal subcategories, where geometrical invariants can be defined. However, these may be tricky to describe. Under finiteness hypotheses, they have nice approximations by compact objects, which allow us to derive characterizations of dualizability. This is joint work with Jan Šťovíček.
March 2 - TBA
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.
