The derived category of permutation modules

Talk by Dr. Martin Gallauer

Speaker invited by: Prof. Dr. Joseph Ayoub

Date: 16.05.22  Time: 13.15 - 14.45  Room: Y27H25

To a field k and a finite group G one associates the derived category of kG-modules, an important invariant that is difficult to understand in general. At least, its tensor-triangulated structure admits a familiar description in terms of the support variety.

We propose to study a refinement, the derived category of G-permutation modules over k. It has interesting interpretations in algebraic geometry, representation theory and equivariant homotopy theory. We will say a few things we know about its tensor-triangulated structure. This is based on joint work, mostly in progress, with Paul Balmer.