Algebra seminar
Thomas Peirce (Univ. Warwick): Proxy-Small Geometric Functors
Abstract: Proxy-Smallness is a finiteness property satisfied by certain functors between tensor-triangulated categories. In this talk we explain how under this condition, properties such as rigidity are reflected in the torsion category, and one can recover a weaker form of Grothendieck-Neeman duality in the sense of Balmer-Dell'Ambrogio-Sanders. We use this to generalise the notion of a Gorenstein ring spectrum in the sense of Dwyer-Greenlees-Iyengar, and show how this property relates the Picard group of torsion objects to dualising objects with respect to the functor. This is joint work with Jordan Williamson.
October 13 - 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.
