SMS scnews item created by Kevin Coulembier at Sat 17 Mar 2018 1038
Type: Seminar
Modified: Sat 17 Mar 2018 1043
Distribution: World
Expiry: 14 Apr 2018
Calendar1: 23 Mar 2018 1200-1300
CalLoc1: Carslaw 375
CalTitle1: The etale site of the stable module category of a finite group
Auth: kevinc@120.88.165.116 (kcou7211) in SMS-WASM

Algebra Seminar: Pauwels -- The etale site of the stable module category of a finite group

Bregje Pauwels (ANU) 

Friday 23 March, 12-1pm, Place: Carslaw 375 

Title: The etale site of the stable module category of a finite group 

Abstract: To any tensor-triangulated category T, there is a natural way to associate a
site and a sheaf cohomology.  The objects in this site are the commutative separable
monoids in T.  For instance, if T is the derived category of quasi-coherent sheaves on a
scheme X, then the site fits in between the classical etale site and the recently
discovered pro-etale site on X.  

In this talk, I will explain what separable monoids are and show how they pop up in
various settings.  For a finite group G, I will show that the compact separable monoids
in both the derived and stable module category of G correspond to G-sets.  This allows
us to describe the site associated to the derived and stable module category of G, to
compute the corresponding sheaf cohomology and its relation to traditional group
cohomology.


If you are registered you may mark the scnews item as read.
School members may try to .