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 …
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 …
V Sécherre, S Stevens - Compositio Mathematica, 2019 - cambridge.org
Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal case Page 1 Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal …
Motivated by the Langlands program in representation theory, number theory and geometry, the theory of representations of a reductive $ p $-adic group over a coefficient ring different …
R Kurinczuk, N Matringe, V Sécherre - arXiv preprint arXiv:2310.15820, 2023 - arxiv.org
Let $ F/F_0 $ be a quadratic extension of non-Archimedean locally compact fields of residual characteristic $ p\neq2 $ with Galois automorphism $\sigma $, and let $ R $ be an …
A Dotto - arXiv preprint arXiv:1707.00635, 2017 - arxiv.org
We give a parametrization of the simple Bernstein components of inner forms of a general linear group over a local field by invariants constructed from type theory, and explicitly …
J Zou - Bull. Soc. Math. France, 2022 - smf.emath.fr
Let F/F0 be a quadratic extension of non-Archimedean locally compact fields of residue characteristic p= 2. Let R be an algebraically closed field of characteristic different from p …
H Atobe - International Mathematics Research Notices, 2024 - academic.oup.com
In this paper, we introduce a notion of ladder representations for split odd special orthogonal groups and symplectic groups over a non-archimedean local field of characteristic zero. This …
A Dotto - arXiv preprint arXiv:1808.06851, 2018 - arxiv.org
We formulate an analogue of the Breuil-M\'ezard conjecture for the group of units of a central division algebra over a $ p $-adic local field, and we prove that it follows from the conjecture …