# Mathematics Topology Seminar: L-functions &Galois representations associated to finite CW-complexes

This event is in the past.

**When:**

August 29, 2023

2 p.m. to 3 p.m.

2 p.m. to 3 p.m.

**Where:**

**Event category:**Seminar

In-person

Speaker: Prof. Andrew Salch, WSU

Title: L-functions and Galois representations associated to finite CW-complexes

Abstract: I will explain how to associate certain Galois representations and L-functions to finite CW-complexes in such a way that the orders of the KU-local stable homotopy groups of the complex are recoverable from the special values of the L-function. Then I will explain one method of generalizing these Galois representations (but not the L-functions!) to higher heights, using the Jacquet-Langlands correspondence and a calculation of the algebraic K-theory of the spectral enrichment of the "degenerating Lubin-Tate tower" constructed in joint work with Matthias Strauch.

Best,

Bob