# Niko Naumann: The Balmer spectrum of a group

**Time: **
Tue 2019-09-03 15.15 - 17.00

**Location: **
Room 306, SU

**Participating: **
Niko Naumann, Regensburg

### Abstract

We survey what is known about the Balmer spectrum of the category of genuine \(G\)-spectra for compact Lie groups \(G\). This object blends abstract tensor-triangular geometry with fairly concrete problems about the structure of fixed points of group actions.

In the first part of the talk, we plan to review the classical case \(G=1\), while the second part explains the main ingredients in the solution of the problem in the abelian case and some open problems.