Michael Groechenig (University of Toronto)
Date
Friday February 7, 20252:30 pm - 3:30 pm
Location
Jeffrey Hall, Room 234Math & Stats Department Colloquium
Friday, February 7, 2025
Time: 2:30 p.m. Place: Jeffery Hall, Room 234
Speaker: Michael Groechenig (University of Toronto)
Title: Moduli, mirror symmetry and $p$-adic integration
Abstract: I will report on joint work with Wyss \& Ziegler on $p$-adic integration for moduli spaces of Higgs bundles. After introducing Higgs bundles and Hitchin systems we will discuss how $p$-adic integration can be used as a tool to establish mirror symmetry phenomena for these. Subsequently, I will explain how this sheds new light on the Fundamental Lemma (previously proven by Ngô). I will conclude the talk by describing our recent results which apply $p$-adic integration to new kinds of moduli problems and provide a connection to DT-theory.