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

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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Mercredi, Octobre 11, 2017 - 11:00 to 12:30
Sky Room
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