[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 …

Trilinear forms and the central values of triple product -functions

A Ichino - 2008 - projecteuclid.org
TRILINEAR FORMS AND THE CENTRAL VALUES OF TRIPLE PRODUCT L-FUNCTIONS
Page 1 TRILINEAR FORMS AND THE CENTRAL VALUES OF TRIPLE PRODUCT L-FUNCTIONS …

Bessel models for GSp (4)

D Prasad, R Takloo-Bighash - 2011 - degruyter.com
Methods of theta correspondence are used to analyze local and global Bessel models for
GSp4 proving a conjecture of Gross and Prasad which describes these models in terms of …

Globalization of supercuspidal representations over function fields and applications

WT Gan, LA Lomeli - Journal of the European Mathematical Society, 2018 - ems.press
Let H be a connected reductive group defined over a non-archimedean local field F of
characteristic p> 0. Using Poincaré series, we globalize supercuspidal representations of HF …

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) …

Galois self-dual cuspidal types and Asai local factors.

UK Anandavardhanan, R Kurinczuk… - Journal of the …, 2021 - ems.press
Let F/Fo be a quadratic extension of non-archimedean locally compact fields of odd residual
characteristic and σ be its non-trivial automorphism. We show that any σ-self-dual cuspidal …

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 …

Restrictions of representations of classical groups: examples

WT Gan, BH Gross, D Prasad - arXiv preprint arXiv:0909.2993, 2009 - arxiv.org
In an earlier paper, we considered several restriction problems in the representation theory
of classical groups over local and global fields. Assuming the Langlands-Vogan …

The local Langlands conjecture for GSp (4), II: The case of inner forms

WT Gan, W Tantono - American Journal of Mathematics, 2014 - muse.jhu.edu
In an earlier paper of the first author and Shuichiro Takeda, the local Langlands
correspondence for ${\rm GSp} _4 (F) $ over a non-archimedean local field $ F $ of …

Periods and harmonic analysis on spherical varieties

Y Sakellaridis, A Venkatesh - arXiv preprint arXiv:1203.0039, 2012 - arxiv.org
Given a spherical variety X for a group G over a non-archimedean local field k, the
Plancherel decomposition for L^ 2 (X) should be related to" distinguished" Arthur parameters …