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) …

The Langlands-Weissman program for Brylinski-Deligne extensions

WT Gan, F Gao - Astérisque, 2018 - smf.emath.fr
We describe an evolving and conjectural extension of the Langlands pro-gram for a class of
nonlinear covering groups of algebraic origin studied by Brylinski and Deligne. In particular …

Dirac cohomology, elliptic representations and endoscopy

JS Huang - Representations of Reductive Groups: In Honor of the …, 2015 - Springer
Abstract The first part (Sections 2–7) of this paper is a survey of some of the recent
developments in the theory of Dirac cohomology, especially the relationship of Dirac …

L-groups and the Langlands program for covering groups: a historical introduction

WT Gan, F Gao, MH Weissman - arXiv preprint arXiv:1705.07559, 2017 - arxiv.org
In this joint introduction to an Asterisque volume, we give a short discussion of the historical
developments in the study of nonlinear covering groups, touching on their structure theory …

Transfert d'intégrales orbitales pour le groupe métaplectique

WW Li - Compositio Mathematica, 2011 - cambridge.org
We set up a formalism of endoscopy for metaplectic groups. By defining a suitable transfer
factor, we prove an analogue of the Langlands–Shelstad transfer conjecture for orbital …

The langlands-weissman program for brylinski-deligne extensions

WT Gan, F Gao - arXiv preprint arXiv:1409.4039, 2014 - arxiv.org
We describe an evolving and conjectural extension of the Langlands program for a class of
nonlinear covering groups of algebraic origin studied by Brylinski-Deligne. In particular, we …

Irreducible genuine characters of the metaplectic group: Kazhdan-Lusztig algorithm and Vogan duality

D Renard, P Trapa - Representation Theory of the American Mathematical …, 2000 - ams.org
We establish a Kazhdan-Lusztig algorithm to compute characters of irreducible genuine
representations of the (nonlinear) metaplectic group with half-integral infinitesimal character …

La formule des traces stable pour le groupe métaplectique: les termes elliptiques

WW Li - Inventiones mathematicae, 2015 - Springer
Résumé Soient FF un corps de nombres et ̃ GG~ le revêtement métaplectique de Weil de G
(A _F)= Sp (2n, A _F) G (AF)= Sp (2 n, AF). Nous stabilisons les termes elliptiques semi …

Spectral transfer for metaplectic groups. I. Local character relations

WW Li - Journal of the Institute of Mathematics of Jussieu, 2019 - cambridge.org
Let-packets. As a first step, we characterize the image of the collective geometric transfer in
the non-archimedean case, then reduce the spectral transfer to the case of cuspidal test …

Endoscopic character identities for metaplectic groups

C Luo - Journal für die reine und angewandte Mathematik …, 2020 - degruyter.com
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