CONFERENCE
Relative Trace Formula, Periods, L-Functions, Harmonic Analysis, and Langlands Functoriality (1351)
Formule des traces relatives, Périodes, Fonctions L, analyse harmonique et fonctorialité de Langlands
Dates: 23-27 May 2016 at CIRM (Marseille Luminy, France)
Relative Trace Formula, Periods, L-Functions, Harmonic Analysis, and Langlands Functoriality (1351)
Formule des traces relatives, Périodes, Fonctions L, analyse harmonique et fonctorialité de Langlands
Dates: 23-27 May 2016 at CIRM (Marseille Luminy, France)
DESCRIPTION
Automorphic forms and Langlands fonctoriality is a very active area of contemporary international mathematical research at the cross-roads of number theory, representation theory, arithmetic, and algebraic geometry. Endoscopy, a technique that allows to study certain instances of functoriality, was initiated by Langlands and Shelstad almost forty years ago, and is now at a mature state. Endoscopic functorialities are determined by character identities that are dual to transfer of conjugacy classes. Endoscopy is fundamental as it puts a structure (L-packet and A packet) on "the set" of automorphic representations. The most recent highlight of the theory is the classification of the automorphic spectrum of orthogonal, symplectic (Arthur) and unitary groups (Mok) in terms of the automorphic spectrum of GL(n). The proof relies on highly-sophisticated tools, such as the stable version of the twisted Arthur-Selberg trace formula. lt depends also on deep results on local harmonic analysis such as: - transfer of orbital integrals (Waldspurger) and the famous fundamental Iemma (whose most general statement was proved by Ngô by powerful geometric methods). New techniques and methods are needed for further study of fonctoriality that complements or goes beyond endoscopy. The common motivation for the conference "Relative Trace Formula, Periods and L_Functions and Harmonic Analysis" is to study the "periods " of automorphic forms. The non-vanishing of certain periods should be characterized by functoriality. Moreover, special values of L-functions should be related to periods (a paradigm is on old result on Waldspurger of the relation between toric periods and central values of L-function of automorphic forms; a broad generalization is the so-called global Gross-Prasad conjecture). |
SCIENTIFIC COMMITTEE
Hervé Jacquet (Columbia University)
Jean-Pierre Labesse (Prof. Emeritus, Aix-Marseille) Colette Moeglin (IMJ-PRG Paris) ORGANIZING COMMITTEE
Pierre-Henri Chaudouard (Université Paris Diderot)
Volker Heiermann (Aix-Marseille Université) Dipendra Prasad (TIFR Mumbai & Aix-Marseille Université) Yiannis Sakellaridis (Rutgers University Newark & National Technical University of Athens) SPEAKERS
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