In joint work with Martin Gallauer, we study the tensor-triangular geometry of the derived category of permutation modules over a finite group, and more generally over profinite groups. Martin and I have already spoken on this topic in various venues. So I’ll try to comment on aspects that were not highlighted so far, like the construction of the modular fixed points (or Brauer quotients), the Koszul objects and the reduction to elementary abelian groups. If time permits, I’ll say a few words about the profinite case, which is still partially work-in-progress.
This video is part of the New Directions in Group Theory and Triangulated Categories seminar series.
