Algebraický seminář
Jakub Löwit (IST Austria): Equivariant algebraic K-theory and perfection
Abstrakt: Given an affine group G acting on a scheme X, one can consider the associated family of fixed-points. I will start by recalling the equivariant algebraic K-theory of such X and the trace map into the global functions on this family, showing some elementary examples. I will then explain how both sides of this comparison simplify after perfection in positive characteristic. I will finish with applications to torus-equivariant K-theory of perfect affine Grassmannians and perfectly proper toric varieties.
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.
