Geometrization of the local Langlands correspondence
L Fargues, P Scholze - arXiv preprint arXiv:2102.13459, 2021 - arxiv.org
Following the idea of [Far16], we develop the foundations of the geometric Langlands
program on the Fargues--Fontaine curve. In particular, we define a category of $\ell $-adic …
program on the Fargues--Fontaine curve. In particular, we define a category of $\ell $-adic …
Towards a theory of local Shimura varieties
M Rapoport, E Viehmann - arXiv preprint arXiv:1401.2849, 2014 - arxiv.org
This is a survey article that advertizes the idea that there should exist a theory of p-adic local
analogues of Shimura varieties. Prime examples are the towers of rigid-analytic spaces …
analogues of Shimura varieties. Prime examples are the towers of rigid-analytic spaces …
The stable Bernstein center and test functions for Shimura varieties
TJ Haines - Automorphic forms and Galois representations, 2014 - books.google.com
We elaborate the theory of the stable Bernstein center of a p-adic group G, and apply it to
state a general conjecture on test functions for Shimura varieties due to the author and R …
state a general conjecture on test functions for Shimura varieties due to the author and R …
Euler systems for GSp (4)
D Loeffler, C Skinner, SL Zerbes - arXiv preprint arXiv:1706.00201, 2017 - arxiv.org
arXiv:1706.00201v4 [math.NT] 26 Jan 2021 Page 1 EULER SYSTEMS FOR GSP(4) DAVID
LOEFFLER, CHRISTOPHER SKINNER, AND SARAH LIVIA ZERBES Abstract. We construct an …
LOEFFLER, CHRISTOPHER SKINNER, AND SARAH LIVIA ZERBES Abstract. We construct an …
On parabolic induction on inner forms of the general linear group over a non-archimedean local field
E Lapid, A Mínguez - Selecta Mathematica, 2016 - Springer
We give new criteria for the irreducibility of parabolic induction on the general linear group
and its inner forms over a local non-archimedean field. In particular, we give a necessary …
and its inner forms over a local non-archimedean field. In particular, we give a necessary …
[PDF][PDF] Higher Hida and Coleman theories on the modular curve
G Boxer, V Pilloni - Épijournal de Géométrie Algébrique, 2022 - epiga.episciences.org
arXiv:2002.06845v2 [math.NT] 11 Sep 2022 Page 1 Épijournal de Géométrie Algébrique
epiga.episciences.org Volume 6 (2022), Article Nr. 16 Higher Hida and Coleman theories on the …
epiga.episciences.org Volume 6 (2022), Article Nr. 16 Higher Hida and Coleman theories on the …
Generalizations of the Springer correspondence and cuspidal Langlands parameters
AM Aubert, A Moussaoui, M Solleveld - manuscripta mathematica, 2018 - Springer
Let\mathcal HH be any reductive p-adic group. We introduce a notion of cuspidality for
enhanced Langlands parameters for\mathcal HH, which conjecturally puts …
enhanced Langlands parameters for\mathcal HH, which conjecturally puts …
Affine Hecke algebras for classical -adic groups
AM Aubert, A Moussaoui, M Solleveld - arXiv preprint arXiv:2211.08196, 2022 - arxiv.org
We consider four classes of classical groups over a non-archimedean local field F:
symplectic,(special) orthogonal, general (s) pin and unitary. These groups need not be quasi …
symplectic,(special) orthogonal, general (s) pin and unitary. These groups need not be quasi …
[HTML][HTML] Endomorphism algebras and Hecke algebras for reductive p-adic groups
M Solleveld - Journal of Algebra, 2022 - Elsevier
Let G be a reductive p-adic group and let Rep (G) s be a Bernstein block in the category of
smooth complex G-representations. We investigate the structure of Rep (G) s, by analysing …
smooth complex G-representations. We investigate the structure of Rep (G) s, by analysing …
Representations of p-adic groups over commutative rings
MF Vignéras - Prize LectureS, 2022 - ems.press
Motivated by the Langlands program in representation theory, number theory, and geometry,
the theory of representations of a reductive p-adic group, originally in complex vector …
the theory of representations of a reductive p-adic group, originally in complex vector …