A motivic Fundamental Lemma

Forey, Arthur; Loeser, François; Wyss, Dimitri

Document type :

Pré-publication ou Document de travail

Title :

A motivic Fundamental Lemma

Author(s) :

Forey, Arthur [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Loeser, François [Auteur]
Institut de Mathématiques de Jussieu - Paris Rive Gauche [IMJ-PRG (UMR_7586)]
Wyss, Dimitri [Auteur]
Département de Mathématiques - EPFL

Publication date :

2023-08-23

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

In this paper we prove motivic versions of the Langlands-Shelstad Fundamental Lemma and Ng\^o's Geometric Stabilization. To achieve this, we follow the strategy from the recent proof by Groechenig, Wyss and Ziegler which ...
Show more >In this paper we prove motivic versions of the Langlands-Shelstad Fundamental Lemma and Ng\^o's Geometric Stabilization. To achieve this, we follow the strategy from the recent proof by Groechenig, Wyss and Ziegler which avoided the use of perverse sheaves using instead $p$-adic integration and Tate duality. We make a key use of a construction of Denef and Loeser which assigns a virtual motive to any definable set in the theory of pseudo-finite fields.Show less >

Language :

Anglais

Comment :

53 pages

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

2308.12195
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