Branching laws for classical groups: the non-tempered case
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 …
formulated for tempered or more generally generic L-packets to Arthur packets, especially …
The local Langlands conjecture for
WT Gan, G Savin - Forum of Mathematics, Pi, 2023 - cambridge.org
The Local Langlands Conjecture for 𝑮2 Page 1 Forum of Mathematics, Pi (2023), Vol. 11:e28
1–42 doi:10.1017/fmp.2023.27 RESEARCH ARTICLE The Local Langlands Conjecture for 𝑮2 …
1–42 doi:10.1017/fmp.2023.27 RESEARCH ARTICLE The Local Langlands Conjecture for 𝑮2 …
The endoscopic classification of representations of non-quasi-split odd special orthogonal groups
H Ishimoto - International Mathematics Research Notices, 2024 - academic.oup.com
In an earlier book of Arthur, the endoscopic classification of representations of quasi-split
orthogonal and symplectic groups was established. Later Mok gave that of quasi-split unitary …
orthogonal and symplectic groups was established. Later Mok gave that of quasi-split unitary …
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) …
representation theory and the study of automorphic forms of the metaplectic group Mp (2 n) …
Equivalent definitions of Arthur packets for real classical groups
J Adams, NA Robert, P Mezo - arXiv preprint arXiv:2108.05788, 2021 - arxiv.org
Arthur has conjectured the existence of what are now known as Arthur packets of
representations of reductive algebraic groups over local and global fields. In the case of …
representations of reductive algebraic groups over local and global fields. In the case of …
On the upper bound of wavefront sets of representations of p-adic groups
In this paper we study the upper bound of wavefront sets of irreducible admissible
representations of connected reductive groups defined over non-Archimedean local fields of …
representations of connected reductive groups defined over non-Archimedean local fields of …
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 …
split $\mathrm {O} _ {2n} $ established by Arthur. We give two applications: Prasad's …
Characterization of supercuspidal representations and very regular elements
C Chan, M Oi - arXiv preprint arXiv:2301.09812, 2023 - arxiv.org
We prove that regular supercuspidal representations of $ p $-adic groups are uniquely
determined by their character values on very regular elements--a special class of regular …
determined by their character values on very regular elements--a special class of regular …
On anti-tempered local Arthur packets and a lemma of Arthur
In this note, following Arthur's ideas, we rework the process of constructing the anti-tempered
local Arthur packets for quasi-split classical groups and their pure inner forms. In particular …
local Arthur packets for quasi-split classical groups and their pure inner forms. In particular …
Local Langlands correspondence for even orthogonal groups via theta lifts
R Chen, J Zou - Selecta Mathematica, 2021 - Springer
Using theta correspondence, we obtain a classification of irreducible representations of an
arbitrary even orthogonal group (ie the local Langlands correspondence) by deducing it …
arbitrary even orthogonal group (ie the local Langlands correspondence) by deducing it …