BunG Seminar Talk XXXVI: Justin Campbell. Overview of restricted geometric Langlands.
Автор: BunG Seminar
Загружено: 2024-03-20
Просмотров: 379
Описание:
Speaker: Justin Campbell
Date: March 20, 2024
Abstract: In a series of papers by Arinkin-Gaitsgory-Kazhdan-Raskin-Rozenblyum-Varshavsky, the authors have formulated a categorical version of the global unramified geometric Langlands conjecture which makes sense with coefficients in any sheaf theory. The key idea is to consider the moduli stack of local systems "with restricted variation." The term "restricted" reflects that in the de Rham (D-module) and Betti (topological) settings, this conjecture is weaker than existing formulations of the geometric Langlands equivalence, but captures a large piece of the theory that includes, for example, all Hecke eigensheaves.
For l-adic coefficients, the AGKRRV conjecture is the first formulation of the geometric Langlands conjecture as an equivalence of categories. Working with a curve over a finite field, one can deduce arithmetic consequences from this equivalence of categories, and from other results proved unconditionally by AGKRRV, by taking the so-called categorical trace of Frobenius. In particular, this procedure unconditionally recovers and refines the unramified part of the spectral decomposition of automorphic forms previously established by V. Lafforgue.
Повторяем попытку...
Доступные форматы для скачивания:
Скачать видео
-
Информация по загрузке:
