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 …

Tame cuspidal representations in non-defining characteristics

J Fintzen - Michigan Mathematical Journal, 2022 - projecteuclid.org
Let F be a nonarchimedean local field of residual characteristic p≠ 2. Let G be a
(connected) reductive group that splits over a tamely ramified field extension of F. We show …

Endo-parameters for p-adic classical groups

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 …

Representations of -adic groups over coefficient rings

MF Vignéras - arXiv preprint arXiv:2205.02019, 2022 - arxiv.org
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 …

l-modular representations of p-adic groups SLn (F): maximal simple k-types

P Cui - arXiv preprint arXiv:2012.07492, 2020 - arxiv.org
Let p be an arbitrary prime number and k be an algebraically closed field of characteristic l
different from p. We construct maximal simple k-types of Levi subgroups M'of SLn (F), when …

Representations of a reductive p-adic group in characteristic distinct from p

G Henniart, MF Vignéras - Tunisian Journal of Mathematics, 2022 - msp.org
We investigate the irreducible cuspidal C-representations of a reductive p-adic group G over
a field C of characteristic different from p. In all known cases, such a representation is the …

Block decompositions for -adic classical groups and their inner forms

D Helm, R Kurinczuk, D Skodlerack… - arXiv preprint arXiv …, 2024 - arxiv.org
For an inner form $\mathrm {G} $ of a general linear group or classical group over a non-
archimedean local field of odd residue characteristic, we decompose the category of smooth …

Intertwining semisimple characters for-adic classical groups

D Skodlerack, S Stevens - Nagoya Mathematical Journal, 2020 - cambridge.org
Let $ G $ be an orthogonal, symplectic or unitary group over a non-archimedean local field
of odd residual characteristic. This paper concerns the study of the “wild part” of an …

Semisimple characters for inner forms II: Quaternionic forms of 𝑝-adic classical groups (𝑝 odd)

D Skodlerack - Representation Theory of the American Mathematical …, 2020 - ams.org
In this article we consider the set $ G $ of rational points of a quaternionic form of a
symplectic or an orthogonal group defined over a non-Archimedean local field of odd …

Local transfer for quasi-split classical groups and congruences mod l

A Mínguez, V Sécherre - arXiv preprint arXiv:2302.04532, 2023 - arxiv.org
Let G be the group of rational points of a quasi-split p-adic special orthogonal, symplectic or
unitary group for some odd prime number p. FollowingArthur and Mok, there are a positive …