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Number Theory Seminar

Wednesday, January 22, 2020
4:00pm to 5:00pm
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Linde Hall 310
p-adic integration for Hitchin systems and the fundamental lemma
Michael Groechenig, Mathematical & Computational Sciences, University of Toronto,

The fundamental lemma is an identity of integrals central to the Langlands programme which was proved by Ngô in 2008. His proof infers the fundamental lemma from a statement about the cohomology of moduli spaces of Higgs bundles, called geometric stabilisation. In this talk I'll discuss a new perspective on geometric stabilisation, provided by p-adic integration. We will see that there exists a close philosophical link between mirror symmetry for moduli spaces of Higgs bundles (à la Hausel-Thaddeus) and the fundamental lemma. This is joint work with Wyss and Ziegler.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].