Topology Seminar

Chase VogeliCornell University
Galois descent and the K-theory of modular group algebras

Tuesday, October 7, 2025 - 2:55pm
Malott 206

The algebraic K-theory of group algebras is a fundamental invariant that houses a number of constructions in geometric topology and simple homotopy. In this talk, I’ll present techniques which produce new calculations for group algebras of finite groups over finite fields. I’ll connect this to the concept of Galois descent in K-theory by describing how these results arise from Galois extensions of group cohomology rings.