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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …