Zobrazeno 1 - 10
of 296
pro vyhledávání: '"11S37"'
Autor:
Li-Huerta, Siyan Daniel
We prove that Fargues-Scholze's semisimplified local Langlands correspondence (for quasisplit groups) with $\overline{\mathbb{F}}_\ell$-coefficients is compatible with Deligne and Kazhdan's philosophy of close fields. From this, we deduce that the sa
Externí odkaz:
http://arxiv.org/abs/2407.07063
Autor:
Gulotta, Daniel R.
Let $G$ be a connected reductive group over a finite extension of $\mathbb{Q}_p$. We show that for each $b \in B(G)$, the strongly regular locus of the inertia stack of $\mathrm{Bun}_G^b$ is open in the inertia stack of $\mathrm{Bun}_G$. As a consequ
Externí odkaz:
http://arxiv.org/abs/2312.17307
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 s
Externí odkaz:
http://arxiv.org/abs/2308.12195
Autor:
Dillery, Peter, Schwein, David
Motivated by applications to the Langlands program, Aubert-Moussaoui-Solleveld extended Lusztig's generalized Springer correspondence to disconnected reductive groups. We use stacks to give a more geometric account of their theory, in particular, for
Externí odkaz:
http://arxiv.org/abs/2308.11752
Autor:
Henniart, Guy, Oi, Masao
Let $F$ be a local non-Archimedean field and $E$ a finite Galois extension of $F$, with Galois group $G$. If $\rho$ is a representation of $G$ on a complex vector space $V$, we may compose it with any tensor operation $R$ on $V$, and get another repr
Externí odkaz:
http://arxiv.org/abs/2307.15248
Autor:
Suzuki, Kenta, Xu, Yujie
We write down character formulas for representations of $G_2$ considered in Aubert-Xu, and show that stability for $L$-packets uniquely pins down the Local Langlands Correspondence constructed in Aubert-Xu, thus proving unique characterization of the
Externí odkaz:
http://arxiv.org/abs/2304.02630
Autor:
Suzuki, Kenta, Xu, Yujie
We give a purely local proof of the explicit Local Langlands Correspondence for $\mathrm{GSp}_4$ and $\mathrm{Sp}_4$. Moreover, we give a unique characterization in terms of stability of $L$-packets and other properties. Finally, in the appendix, we
Externí odkaz:
http://arxiv.org/abs/2304.02622
Autor:
Tokimoto, Kazuki
We prove that Kaletha's local Langlands correspondence for regular supercuspidal representations gives the classical local Jacquet--Langlands correspondence due to Deligne--Kazhdan--Vigneras and Badulescu. As in a former joint paper with Oi, where a
Externí odkaz:
http://arxiv.org/abs/2303.02354
Autor:
Chan, Charlotte, Oi, Masao
We prove that regular supercuspidal representations of $p$-adic groups are uniquely determined by their character values on very regular elements -- a special class of regular semisimple elements on which character formulae are very simple -- provide
Externí odkaz:
http://arxiv.org/abs/2301.09812
Autor:
Meli, Alexander Bertoloni, Oi, Masao
This article is on the parametrization of the local Langlands correspondence over local fields for non-quasi-split groups according to the philosophy of Vogan. We show that a parametrization indexed by the basic part of the Kottwitz set (which is an
Externí odkaz:
http://arxiv.org/abs/2211.13864