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 …
R Kurinczuk, D Skodlerack, S Stevens - Inventiones mathematicae, 2021 - Springer
For a classical group over a non-archimedean local field of odd residual characteristic p, we prove that two cuspidal types, defined over an algebraically closed field CC of characteristic …
P Cui, T Lanard, H Lu - Compositio Mathematica, 2024 - cambridge.org
Let $ F $ be a non-archimedean local field of characteristic different from 2 and residual characteristic $ p $. This paper concerns the $\ell $-modular representations of a connected …
D Liu, JJ Ma, F Shi - arXiv preprint arXiv:2208.02308, 2022 - arxiv.org
In this paper, we deduce explicit multiplicity formulas of the Fourier-Jacobi model for Deligne- Lusztig characters of finite symplectic groups, unitary groups, and general linear groups. We …
Y Jo - Finite Fields and Their Applications, 2024 - Elsevier
We study four sums including the Jacquet–Piatetski-Shapiro–Shalika, Flicker, Bump– Friedberg, and Jacquet–Shalika sums associated to irreducible cuspidal representations of …
Let F be a non-archimedean locally compact field of residue characteristic p≠ 2, let G= GL n (F) and let H be an orthogonal subgroup of G. For π a complex smooth supercuspidal …
Y Jo - Pacific Journal of Mathematics, 2023 - msp.org
Let F be a nonarchimedean local field of odd characteristic p> 0. We consider local exterior square L-functions L (s, π,∧ 2), Bump–Friedberg L-functions L (s, π, BF), and Asai L …
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 …