Représentations lisses modulo de

A Mínguez, V Sécherre - 2014 - projecteuclid.org
Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite-
dimensional central division F-algebra, and let R be an algebraically closed field of …

The Breuil–Mézard conjecture when

J Shotton - 2018 - projecteuclid.org
Let l and p be primes, let F/Q p be a finite extension with absolute Galois group GF, let F be a
finite field of characteristic l, and let ρ¯: GF→ GL n (F) be a continuous representation. Let …

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 …

Galois self-dual cuspidal types and Asai local factors.

UK Anandavardhanan, R Kurinczuk… - Journal of the …, 2021 - ems.press
Let F/Fo be a quadratic extension of non-archimedean locally compact fields of odd residual
characteristic and σ be its non-trivial automorphism. We show that any σ-self-dual cuspidal …

Block decomposition of the category of l-modular smooth representations of GL (n, F) and its inner forms

V Sécherre, S Stevens - Annales scientifiques de l'Ecole …, 2016 - ueaeprints.uea.ac.uk
Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite
dimensional central division F-algebra and let R be an algebraically closed field of …

Supercuspidal representations of GLn (F) distinguished by a Galois involution

V Sécherre - Algebra & Number Theory, 2019 - msp.org
Abstract Let F∕ F 0 be a quadratic extension of nonarchimedean locally compact fields of
residual characteristic p≠ 2 and let σ denote its nontrivial automorphism. Let R be an …

Représentations banales de

A Mínguez, V Sécherre - Compositio Mathematica, 2013 - cambridge.org
Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite-
dimensional central division F-algebra and let R be an algebraically closed field of …

Repr\'esentations cuspidales de GL (r, D) distingu\'ees par une involution int\'erieure

V Sécherre - arXiv preprint arXiv:2005.05615, 2020 - arxiv.org
Let n be a positive integer, F be a non-Archimedean locally compact field of odd residue
characteristic p and G be an inner form of GL (2n, F). This is a group of the form GL (r, D) for …

Correspondance de Jacquet–Langlands locale et congruences modulo

A Mínguez, V Sécherre - Inventiones mathematicae, 2017 - Springer
Let FF be a non-Archimedean local field of residual characteristic p, and ℓ ℓ be a prime
number different from p. We consider the local Jacquet–Langlands correspondence …

Averaging functors in Fargues' program for GL_n

J Anschütz, ACL Bras - arXiv preprint arXiv:2104.04701, 2021 - arxiv.org
We study the so-called averaging functors from the geometric Langlands program in the
setting of Fargues' program. This makes explicit certain cases of the spectral action which …