PIRSA:17100073 Scientific Series Mathematical physics

DOI10.48660/17100073

Series: Mathematical Physics

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}}
}

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.

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