A motivic Fundamental Lemma
Type de document :
Pré-publication ou Document de travail
URL permanente :
Titre :
A motivic Fundamental Lemma
Auteur(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
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
Date de publication :
2023-08-23
Discipline(s) HAL :
Mathématiques [math]
Résumé en anglais : [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 ...
Lire la suite >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.Lire moins >
Lire la suite >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.Lire moins >
Langue :
Anglais
Commentaire :
53 pages
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Date de dépôt :
2025-01-24T14:56:24Z
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- 2308.12195
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