Joint IAS/Princeton University Number Theory Seminar

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.