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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. GrĂ¶chenig 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.

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Speaker(s):

Event Date:

Wednesday, October 11, 2017 - 11:00 to 12:30

Location:

Sky Room

Room #:

394

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