p-adic integration along the Hitchin fibration (Dimitri Wyss, IMG-PRJ, Paris)

22.09.2018 14:00 – 15:30

Lecture 2 : In my talks I will start by introducing the basic theory of p-adic integration on smooth varieties and explain how Batyrev used this to prove, that two birational Calabi-Yau varieties have the same Betti-numbers. I will then extend this theory to smooth and tame Deligne-Mumford stacks and present two applications that we found with Michael Groechenig and Paul Ziegler. The first is a proof of a conjecture of Hausel-Thaddeus, which states that suitably defined moduli spaces of SL_n and PGL_n Higgs bundles have the same (stringy) Hodge numbers. Secondly we give a new proof of Ngô's geometric stabilization theorem for any reductive group G, which implies the fundamental Lemma.
 

Lieu

Bâtiment: Villa Battelle

Mini school/workshop on p-adic and motivic integration

Organisé par

Section de mathématiques

Intervenants

Dimitri Wyss, IMG-PRJ, Paris

entrée libre

Classement

Catégorie: Séminaire