Periods, functoriality and L-functions
Périodes, fonctorialité et fonctions L
10 – 14 January, 2022
Comité d’organisation
Raphaël Beuzart-Plessis (CNRS – Aix-Marseille Université)
Nadya Gurevich (Ben Gurion University)
Yiannis Sakellaridis (Johns Hopkins University)
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The main focus of this workshop will be on several approaches to Langlands’ functoriality conjecture notably through the study of automorphic L-functions and periods of automorphic forms. It will cover a wide range of active subjects in the eld such as: relative aspects of the Langlands program, various proposals to go beyond endoscopy including non-standard Fourier transforms and Poisson summation formulas, integral representations of L-functions and generalized theta correspondences. The goal is to gather experts of these areas to promote collaboration and the exchange of ideas between those approaches.
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L’objectif principal de cette rencontre est d’explorer différentes approches à la conjecture de fonctorialité de Langlands notamment via l’étude de fonctions L automorphes ou des périodes de formes automorphes. Le programme couvrira un large champ de sujets d’actualité comprenant: les aspects relatifs du programme de Langlands, diverses stratégies pour aller au delà de l’endoscopie dont les transformées de Fourier et formules sommatoires de Poisson non-standards, les représentations intégrales de fonctions L ainsi que la correspondance theta et ses généralisations. Le but sera de rassembler des experts de ces domaines afin de promouvoir la collaboration et l’échange d’idées entre ces différentes approches.
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Solomon Friedberg (Boston College) Towards A New Shimura Lift
Jayce Getz (University of Duke) Summation formulae for quadrics
Miao (Pam) Gu (University of Duke) Automorphic-twisted summation formulae for pairs of quadratic spaces
Max Gurevich (Technion-Israel Institute of Tech, Haifa) A triangular system for local character expansions of Iwahori-spherical representations of general linear groups
Eyal Kaplan (University of Bar Ilan) Zelevinsky’s classification for Kazhdan Patterson central extensions of GL(n)
Erez Lapid (Weizmann Institute of Science) A binary operation for B(∞)
Huajie Li (Max Planck Institute for Mathematics) Some progress on the relative trace formula of Guo-Jacquet
Nadir Matringe (Université de Paris) Kirillov models via functional equations
Paul Nelson (Institute for Advanced Study) Bounds for standard L-functions
Marc-Hubert Nicole (Université de Caen) The emerging p-adic Kudla program
Omer Offen (University of Brandeis) On distinction and parabolic induction for Galois symmetric pairs
David Schwein (University of Cambridge) Recent progress on the formal degree conjecture
Vincent Secherre (Université de Versailles St-Quentin) Selfdual cuspidal representations of GL(r,D) and distinction by an inner involution
Chen Wan (Rutgers University-Newark) Period integrals and multiplicities for some strongly tempered spherical varieties
Chuijia Wang (Technion – Israel Institute of Technology) Distinction and quadratic base change for regular supercuspidal representations
Jonathan Wang (Perimeter Institute of Waterloo) Derived Satake equivalence for Godement-Jacquet monoids
Jiandi Zou (Technion-Israel Institute of Tech, Haifa) Supercuspidal representations of GL_n(F) distinguished by an orthogonal subgroup
 research project FORREAL
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