Thema der Dissertation:
The geometric fixed points of real topological cyclic homology revisited Thema der Disputation:
Using the concept of nilpotence in equivariant stable homotopy theory to prove a theorem of Quillen in group cohomology.
The geometric fixed points of real topological cyclic homology revisited Thema der Disputation:
Using the concept of nilpotence in equivariant stable homotopy theory to prove a theorem of Quillen in group cohomology.
Abstract: For a compact Lie group $G$ Daniel Quillen proved in his celebrated paper "The spectrum of an equivariant stable cohomology ring" that the group cohomology $H^\ast(G;\mathbb{F}_p)$ can "almost" be computed from the cohomology of the elementary abelian $p$-subgroups of $G$.
We will explain how in the case of a finite group Quillen's theorem can be proved using the concept of nilpotence in equivariant stable homotopy theory, which was introduced by Akhil Mathew, Niko Naumann and Justin Noel.
We will explain how in the case of a finite group Quillen's theorem can be proved using the concept of nilpotence in equivariant stable homotopy theory, which was introduced by Akhil Mathew, Niko Naumann and Justin Noel.
Zeit & Ort
26.11.2024 | 16:00
Seminarraum 119
(Fachbereich Mathematik und Informatik, Arnimallee 3, 14195 Berlin)