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) …
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 …
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 …
observation used in arXiv: 1705.10106, we prove the Arthur's multiplicity formula for the …
ENDOSCOPY AND COHOMOLOGY IN A TOWER OF CONGRUENCE MANIFOLDS FOR
S Marshall, SW Shin - Forum of Mathematics, Sigma, 2019 - cambridge.org
By assuming the endoscopic classification of automorphic representations on inner forms of
unitary groups, which is currently work in progress by Kaletha, Minguez, Shin, and White, we …
unitary groups, which is currently work in progress by Kaletha, Minguez, Shin, and White, we …
SUR LES PAQUETS D'ARTHUR DE CONTENANT DES MODULES UNITAIRES DE PLUS HAUT POIDS, SCALAIRES
C Moeglin, D Renard - Nagoya Mathematical Journal, 2021 - cambridge.org
Abstract Soit $\unicode [STIX]{x1D70B} $ un module de plus haut poids unitaire du groupe $
G=\mathbf {Sp}(2n,\mathbb {R}) $. On s' intéresse aux paquets d'Arthur contenant $\unicode …
G=\mathbf {Sp}(2n,\mathbb {R}) $. On s' intéresse aux paquets d'Arthur contenant $\unicode …
Ibukiyama correspondences on automorphic forms on $\Mp_4 (\A_\Q) $ and $\SO_5 (\A_\Q) $ generating large discrete series representations at the real place
H Ishimoto - arXiv preprint arXiv:2312.06921, 2023 - arxiv.org
In our previous paper we gave proofs of Ibukiyama's correspondences on holomorphic
Siegel modular forms of degree 2 of half-integral weight and integral weight. In this paper …
Siegel modular forms of degree 2 of half-integral weight and integral weight. In this paper …
The Automorphic Discrete Spectrum of Mp4
WT Gan, A Ichino - International Mathematics Research Notices, 2021 - academic.oup.com
The Automorphic Discrete Spectrum of Mp4 Page 1 WT Gan and A. Ichino (2021) “The
Automorphic Discrete Spectrum of Mp4,” International Mathematics Research Notices, Vol. 2021 …
Automorphic Discrete Spectrum of Mp4,” International Mathematics Research Notices, Vol. 2021 …
Casselman-Shahidi's conjecture on normalized intertwining operators for groups of classical type
C Luo - arXiv preprint arXiv:2112.03531, 2021 - arxiv.org
Intertwining operators play an essential role and appear everywhere in the Langlands
program, their analytic properties interact directly, yet deeply with the decomposition of …
program, their analytic properties interact directly, yet deeply with the decomposition of …
Proofs of Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of degree 2
H Ishimoto - Mathematische Annalen, 2022 - Springer
We prove Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of
degree 2 by using Arthur's multiplicity formula on the split odd special orthogonal group SO …
degree 2 by using Arthur's multiplicity formula on the split odd special orthogonal group SO …
Endoscopy and cohomology of U (n, 1)
S Marshall, SW Shin - arXiv preprint arXiv:1804.05047, 2018 - arxiv.org
By assuming the endoscopic classification of automorphic representations on inner forms of
unitary groups, which is currently work in progress by Kaletha, Minguez, Shin, and White, we …
unitary groups, which is currently work in progress by Kaletha, Minguez, Shin, and White, we …