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pro vyhledávání: '"Moussaoui, Ahmed"'
We consider four classes of classical groups over a non-archimedean local field F: symplectic, (special) orthogonal, general (s)pin and unitary. These groups need not be quasi-split over F. The main goal of the paper is to obtain a local Langlands co
Externí odkaz:
http://arxiv.org/abs/2211.08196
Autor:
Moussaoui, Ahmed
Cette thèse s'intéresse aux liens entre la correspondance de Langlands locale et le centre de Bernstein. Pour cela, un cadre a été introduit par Vogan puis développé par Haines : le centre de Bernstein stable. Nous commençons par étendre la c
Externí odkaz:
http://www.theses.fr/2015PA066108/document
Publikováno v:
Memoirs of the American Mathematical Society 276 (2022), No. 1353
In this article we propose a geometric description of Arthur packets for $p$-adic groups using vanishing cycles of perverse sheaves. Our approach is inspired by the 1992 book by Adams, Barbasch and Vogan on the Langlands classification of admissible
Externí odkaz:
http://arxiv.org/abs/1705.01885
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 its Levi subgroups. The goal of this paper is to create a s
Externí odkaz:
http://arxiv.org/abs/1701.03593
Publikováno v:
pp. 23-84 in: Geometric aspects of the trace formula, W. M\"uller, S. W. Shin, N. Templier (eds.), Simons Symposia, Springer, 2018
We introduce graded Hecke algebras H based on a (possibly disconnected) complex reductive group G and a cuspidal local system L on a unipotent orbit of a Levi subgroup M of G. These generalize the graded Hecke algebras defined and investigated by Lus
Externí odkaz:
http://arxiv.org/abs/1607.02713
Autor:
Moussaoui, Ahmed
In this paper we prove the Aubert-Baum-Plymen-Solleveld conjecture for the split classical groups and establish the connection with the Langlands correspondence. To do this, we review the notion of cuspidality for enhanced Langlands parameters and al
Externí odkaz:
http://arxiv.org/abs/1604.04238
Publikováno v:
Manus. Math. (2018), 1--72
Let H be any reductive p-adic group. We introduce a notion of cuspidality for enhanced Langlands parameters for H, which conjecturally puts supercuspidal H-representations in bijection with such L-parameters. We also define a cuspidal support map and
Externí odkaz:
http://arxiv.org/abs/1511.05335
Autor:
Moussaoui, Ahmed
In this article, we consider the links between parabolic induction and the local Langlands correspondence. We enunciate a conjecture about the (enhanced) Langlands parameters of supercuspidal representation of split reductives $p$-adics groups. We ar
Externí odkaz:
http://arxiv.org/abs/1511.02521
Publikováno v:
FME Transactions, Vol 48, Iss 4, Pp 825-832 (2020)
By using finite difference method, the problem of heat transfer and entropy generation for natural convection of a fluid inside a square cavity with inner adiabatic bodies has been investigated numerically. Calculations have been made for Rayleigh nu
Externí odkaz:
https://doaj.org/article/5f66fd9cf74447bcb030d663e783661f
