Branching laws for classical groups: the non-tempered case

WT Gan, BH Gross, D Prasad - Compositio Mathematica, 2020 - cambridge.org
This paper generalizes the Gan–Gross–Prasad (GGP) conjectures that were earlier
formulated for tempered or more generally generic L-packets to Arthur packets, especially …

Arthur's multiplicity formula for and restriction to

T Gee, O Taïbi - Journal de l'École polytechnique …, 2019 - jep.centre-mersenne.org
Arthur's multiplicity formula for GSp4 and restriction to Sp4 Page 1 Toby Gee & Olivier Taïbi
Arthur’s multiplicity formula for GSp4 and restriction to Sp4 Tome 6 (2019), p. 469-535. <http://jep.centre-mersenne.org/item/JEP_2019__6__469_0> …

The Shimura–Waldspurger Correspondence for Mp(2n)

WT Gan, WW Li - Geometric Aspects of the Trace Formula 2, 2018 - Springer
We describe some recent developments and formulate some conjectures in the genuine
representation theory and the study of automorphic forms of the metaplectic group Mp (2 n) …

Sur les paquets d'Arthur des groupes classiques et unitaires non quasi-déployés

C Moeglin, D Renard - … Functoriality and Automorphic Forms: CIRM Jean …, 2018 - Springer
Soient G un groupe réductif défini sur un corps local F et G∗ sa forme intérieure quasi-
déployée. En suivant Arthur, on définit les A-morphismes de WF× SL (2, C) dans LG que l'on …

On the local Langlands correspondence and Arthur conjecture for even orthogonal groups

H Atobe, W Gan - Representation Theory of the American Mathematical …, 2017 - ams.org
In this paper, we highlight and state precisely the local Langlands correspondence for quasi-
split $\mathrm {O} _ {2n} $ established by Arthur. We give two applications: Prasad's …

Special unipotent representations of real classical groups: counting and reduction

D Barbasch, JJ Ma, B Sun, CB Zhu - arXiv preprint arXiv:2205.05266, 2022 - arxiv.org
Let $ G $ be a real reductive group in Harish-Chandra's class. We derive some
consequences of theory of coherent continuation representations to the counting of …

Sur les paquets d'Arthur des groupes classiques réels

C Moeglin, D Renard - Journal of the European Mathematical Society, 2020 - ems.press
Sur les paquets d’Arthur des groupes classiques réels Page 1 DOI 10.4171/JEMS/957 J. Eur.
Math. Soc. 22, 1827–1892 © European Mathematical Society 2020 Colette Moeglin · David …

Arthur's multiplicity formula for even orthogonal and unitary groups

R Chen, J Zou - arXiv preprint arXiv:2103.07956, 2021 - arxiv.org
Let G be an even orthogonal or unitary group over a number field. Based on the same
observation used in arXiv: 1705.10106, we prove the Arthur's multiplicity formula for the …

Sur les paquets d'Arthur aux places réelles, translation

C Moeglin, D Renard - Geometric Aspects of the Trace Formula 2, 2018 - Springer
Cet article s' insère dans un projet dont le but est la description aussi explicite que possible
des paquets d'Arthur des groupes classiques réels et la preuve d'un résultat de multiplicité …

On the notion of metaplectic Barbasch–Vogan duality

D Barbasch, JJ Ma, B Sun… - International Mathematics …, 2023 - academic.oup.com
In analogy with the Barbasch–Vogan duality for real reductive linear groups, we introduce a
duality notion useful for the representation theory of the real metaplectic groups. This is a …