[PDF][PDF] On the geometrization of the local Langlands correspondence

N Imai - arXiv preprint arXiv:2408.16571, 2024 - arxiv.org
arXiv:2408.16571v1 [math.NT] 29 Aug 2024 Page 1 arXiv:2408.16571v1 [math.NT] 29 Aug 2024
ON THE GEOMETRIZATION OF THE LOCAL LANGLANDS CORRESPONDENCE NAOKI IMAI …

Langlands Duality and Invariant Differential Operators

VK Dobrev - arXiv preprint arXiv:2411.16432, 2024 - arxiv.org
Langlands duality is one of the most influential topics in mathematical research. It has many
different appearances and influential subtopics. Yet there is a topic that until now seems …

Whittaker normalization of -adic ABV-packets and Vogan's conjecture for tempered representations

C Cunningham, S Dijols, A Fiori, Q Zhang - arXiv preprint arXiv …, 2024 - arxiv.org
We show that ABV-packets for $ p $-adic groups do not depend on the choice of a Whittaker
datum, but the function from the ABV-packet to representations of the appropriate microlocal …

Whittaker functionals and contragredient in characteristic not

N Matringe, J Trias - arXiv preprint arXiv:2209.15353, 2022 - arxiv.org
Let $ R $ be an algebraically closed field and $\ell $ be its characteristic. Let $ G $ be a
locally profinite group having a compact open subgroup of invertible pro-order in $ R $. Take …

[PDF][PDF] ON THE GEOMETRIZATION OF THE LOCAL LANGLANDS

N IMAI - ms.u-tokyo.ac.jp
The purpose of this paper is to explain about Fargues–Scholze's monumental paper [24] on
the geometrization of the local Langlands correspondence, which implements and advances …