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DAG Seminar: Motivic integration on the Hitchin fibration April 16, 2019 (01:30 PM PDT - 02:30 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) François Loeser (Université de Paris VI (Pierre et Marie Curie))
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Groechenig, Wyss and Ziegler have recently proved a conjecture of Hausel and Thaddeus concerning an equality between stringy Hodge numbers  of moduli spaces of Higgs bundles for SLn and PGLn. A crucial ingredient in their approach is the use of p-adic integration in the fibres of the Hitchin fibration. We will present a motivic version of their result which is obtained by using motivic integration. This is joint work with Dimitri Wyss.

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