Équations différentielles motiviques et au–delà
# A motivic version of the Fundamental Lemma

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salle Pierre Grisard (ex salle 314) (IHP, Paris 75005)
### salle Pierre Grisard (ex salle 314)

#### IHP, Paris 75005

Description

A cornerstone of the Langlands program, the Fundamental Lemma was a conjecture which has long resisted the efforts of mathematicians until its full proof by Ngô. It is an identity relating $p$-adic orbital integrals on two different reductive groups over the same local field. In this lecture I will present a motivic version of this result, which was obtained with Arthur Forey and Dimitri Wyss. We follow the strategy from a recent new proof of the Fundamental Lemma by Groechenig, Wyss and Ziegler using $p$-adic integration instead of perverse sheaves.

Organized by

Vladimir Rubtsov, Ilia Gaiur

Vladimir Rubtsov