Some unipotent Arthur packets for reductive p-adic groups
D Ciubotaru, L Mason-Brown… - International Mathematics …, 2024 - academic.oup.com
Let be a-adic field, and let be the-points of a connected reductive group, inner to split. The
set of Aubert–Zelevinsky duals of the constituents of a tempered L-packet forms an Arthur …
set of Aubert–Zelevinsky duals of the constituents of a tempered L-packet forms an Arthur …
Wavefront Sets of Unipotent Representations of Reductive -adic Groups II
D Ciubotaru, L Mason-Brown, E Okada - arXiv preprint arXiv:2303.10713, 2023 - arxiv.org
The wavefront set is a fundamental invariant of an admissible representation arising from the
Harish-Chandra-Howe local character expansion. In this paper, we give a precise formula …
Harish-Chandra-Howe local character expansion. In this paper, we give a precise formula …
Affine Hecke algebras for Langlands parameters
AM Aubert, A Moussaoui, M Solleveld - arXiv preprint arXiv:1701.03593, 2017 - arxiv.org
It is well-known that affine Hecke algebras are very useful to describe the smooth
representations of any connected reductive p-adic group G, in terms of the supercuspidal …
representations of any connected reductive p-adic group G, in terms of the supercuspidal …
Ramanujan Bigraphs
S Evra, B Feigon, K Maurischat… - arXiv preprint arXiv …, 2023 - arxiv.org
In their seminal paper, Lubotzky, Phillips and Sarnak (LPS) defined the notion of regular
Ramanujan graphs and gave an explicit construction of infinite families of $(p+ 1) $-regular …
Ramanujan graphs and gave an explicit construction of infinite families of $(p+ 1) $-regular …
Centre de Bernstein dual pour les groupes classiques
A Moussaoui - Representation Theory of the American Mathematical …, 2017 - ams.org
Dans cet article, nous nous intéressons aux liens entre l'induction parabolique et la
correspondance de Langlands locale. Nous énonçons une conjecture concernant les …
correspondance de Langlands locale. Nous énonçons une conjecture concernant les …
Cocenters and representations of affine Hecke algebras
D Ciubotaru, X He - Journal of the European Mathematical Society, 2017 - ems.press
In this paper, we study the relationship between the cocenter and the representation theory
of affine Hecke algebras. The approach is based on the interaction between the rigid …
of affine Hecke algebras. The approach is based on the interaction between the rigid …
On completions of Hecke algebras
M Solleveld - Representations of Reductive p-adic Groups …, 2019 - Springer
Let G be a reductive p-adic group and let\mathcal H (G)^\mathfrak s H (G) s be a Bernstein
block of the Hecke algebra of G. We consider two important topological completions …
block of the Hecke algebra of G. We consider two important topological completions …
Star operations for affine Hecke algebras
D Barbasch, D Ciubotaru - arXiv preprint arXiv:1504.04361, 2015 - arxiv.org
In this paper, we consider the star operations for (graded) affine Hecke algebras which
preserve certain natural filtrations. We show that, up to inner conjugation, there are only two …
preserve certain natural filtrations. We show that, up to inner conjugation, there are only two …
Hermitian forms for affine Hecke algebras
D Barbasch, D Ciubotaru - arXiv preprint arXiv:1312.3316, 2013 - arxiv.org
arXiv:1312.3316v2 [math.RT] 18 Mar 2015 Page 1 arXiv:1312.3316v2 [math.RT] 18 Mar 2015
HERMITIAN FORMS FOR AFFINE HECKE ALGEBRAS DAN BARBASCH AND DAN …
HERMITIAN FORMS FOR AFFINE HECKE ALGEBRAS DAN BARBASCH AND DAN …
On the generalized Ramanujan and Arthur conjectures over function fields
D Ciubotaru, M Harris - arXiv preprint arXiv:2311.15300, 2023 - arxiv.org
Let $ G $ be a simple group over a global function field $ K $, and let $\pi $ be a cuspidal
automorphic representation of $ G $. Suppose $ K $ has two places $ u $ and $ v …
automorphic representation of $ G $. Suppose $ K $ has two places $ u $ and $ v …