PIRSA:17100073

Mirror symmetry for moduli spaces of Higgs bundles via p-adic integration

Ziegler, P. (2017). Mirror symmetry for moduli spaces of Higgs bundles via p-adic integration. Perimeter Institute. https://pirsa.org/17100073

Ziegler, Paul. Mirror symmetry for moduli spaces of Higgs bundles via p-adic integration. Perimeter Institute, Oct. 11, 2017, https://pirsa.org/17100073 

          @misc{ pirsa_PIRSA:17100073,
            doi = {10.48660/17100073},
            url = {https://pirsa.org/17100073},
            author = {Ziegler, Paul},
            keywords = {Mathematical physics},
            language = {en},
            title = {Mirror symmetry for moduli spaces of Higgs bundles via p-adic integration},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {oct},
            note = {PIRSA:17100073 see, \url{https://pirsa.org}}
          }

Paul Ziegler University of Oxford

DOI 10.48660/17100073
Collection
Talk Type Scientific Series
Subject

Abstract

I will talk about a recent proof, joint with M. Gröchenig and D. Wyss, of a conjecture of Hausel and Thaddeus which predicts the equality of suitably defined Hodge numbers of moduli spaces of Higgs bundles with SL(n)- and PGL(n)-structure. The proof, inspired by an argument of Batyrev, proceeds by comparing the number of points of these moduli spaces over finite fields via p-adic integration.