p-adic integration along the Hitchin fibration

Mardi 14 novembre 14:15-15:15 - Dmitri Wyss - IMJ

Résumé : In my talk I will explain how to use p-adic integration and the global geometry of the moduli space of Higgs bundles to count points on (possibly singular) Hitchin fibers. An application of this idea is the proof of the topological mirror symmetry conjecture by Hausel-Thaddeus, which predicts an equality of Hodge numbers of certain SLn and PGLn-Higgs moduli spaces. This is joint work Michael Groechening and Paul Ziegler.

Lieu : Bât. 425, salle 117-119

p-adic integration along the Hitchin fibration  Version PDF