تقرير
A motivic Fundamental Lemma
| العنوان: | A motivic Fundamental Lemma |
|---|---|
| المؤلفون: | Forey, Arthur, Loeser, François, Wyss, Dimitri |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Logic, Mathematics - Number Theory, 03C65 14E18 11S37 14D24 14H60 |
| الوصف: | 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. Comment: 53 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.12195 |
| رقم الأكسشن: | edsarx.2308.12195 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |