# Paul Ziegler: Geometric stabilization via p-adic integration

**Time: **
Wed 2020-11-11 13.15 - 14.15

**Location: **
Zoom, meeting ID: 657 9019 8929

**Participating: **
Paul Ziegler, Munich

### Abstract

The fundamental lemma is an identity of integrals playing an important role in the Langlands program. This identity was reformulated into a statement about the cohomology of moduli spaces of Higgs bundles, called the geometric stabilization theorem, and proved in this form by Ngô. I will give an introduction to these results and explain a new proof of the geometric stabilization theorem, which is joint work with Michael Groechenig and Dimitri Wyss, using the technique of p-adic integration.

**Zoom Notes: **The meeting ID is 657 9019 8929 and the passcode is 3517257.