[图书][B] Periods and harmonic analysis on spherical varieties

Y Sakellaridis, A Venkatesh, A Venkatesh - 2017 - smf.emath.fr
Given a spherical variety X for a group G over a non-Archimedean local field k, the
Plancherel decomposition for L2 (X) should be related to “distinguished” Arthur parameters …

Plancherel formula for GLn (F)\GLn (E) and applications to the Ichino–Ikeda and formal degree conjectures for unitary groups

BP Raphaël - Inventiones mathematicae, 2021 - search.proquest.com
We establish an explicit Plancherel decomposition for GL n (F)\GL n (E) where E/F is a
quadratic extension of local fields of characteristic zero by making use of a local functional …

Supercuspidal representations: an exhaustion theorem

JL Kim - Journal of the American Mathematical Society, 2007 - ams.org
Let $ G $ be a reductive $ p $-adic group. We prove that all supercuspidal representations of
$ G $ arise through Yu's construction subject to certain hypotheses on $ k $(depending on …

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 …

The unitary dual of p-adic G_2

G Muić - Duke mathematical journal, 1998 - croris.hr
CroRIS - CROSBI Logo Ministarstvo znanosti i obrazovanja Logo Croris - Informacijski sustav
znanosti RH O CroRIS-u Pomoć Česta pitanja Upute za korištenje Kontakt Hr En Prijava Logo …

Principe de densité pour les groupes réductifs

F Sauvageot - Compositio Mathematica, 1997 - cambridge.org
The main goal of this Letter is to give a new proof of a result conjectured by D. De George
and N. Wallach and proved by P. Delorme and to extend it to the S-arithmetic setting. The …

Comparison of local relative characters and the Ichino–Ikeda conjecture for unitary groups

R Beuzart-Plessis - Journal of the Institute of Mathematics of Jussieu, 2021 - cambridge.org
COMPARISON OF LOCAL RELATIVE CHARACTERS AND THE ICHINO–IKEDA
CONJECTURE FOR UNITARY GROUPS Page 1 J. Inst. Math. Jussieu (2021) 20(6), 180 –1854 …

Équidistribution des points de Hecke

L Clozel, E Ullmo - … to automorphic forms, geometry, and number …, 2004 - books.google.com
1. Introduction. André et Oort ont formulé un analogue de la conjecture de Manin-Mumford,
démontrée par Raynaud [32][33], pour les points à multiplication complexe de l'espace des …

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 …

On the formal degrees of square-integrable representations of odd special orthogonal and metaplectic groups

A Ichino, E Lapid, Z Mao - 2017 - projecteuclid.org
The formal degree conjecture relates the formal degree of an irreducible square-integrable
representation of a reductive group over a local field to the special value of the adjoint γ …