p-adic integration and geometric stabilization

p-adic integration and geometric stabilization

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Dimitri Wyss, Sorbonne University
Fine Hall 214

I will explain a new proof of the geometric stabilization theorem for Hitchin fibers, a key ingredient in Ngô's proof of the fundamental lemma. Our approach relies on ideas of Denef-Loeser and Batyrev on p-adic integration and Langlands duality for generic Hitchin fibers. This is joint work with Michael Groechenig and Paul Ziegler.