English
Beyond Endoscopy and elliptic terms in the trace formula
Post-edited
Auteurs : Arthur, James Greig (Auteur de la Conférence)
CIRM (Editeur )
11F66 - Langlands L-functions; one variable Dirichlet series and functional equations
22E50 - Representations of Lie and linear algebraic groups over local fields
22E55 - Representations of Lie and linear algebraic groups over global fields and adèle rings
CIRM (Editeur )
Résumé :
Beyond endoscopy is the strategy put forward by Langlands for applying the trace formula to the general principle of functoriality. Subsequent papers by Langlands (one in collaboration with Frenkel and Ngo), together with more recent papers by Altug, have refined the strategy. They all emphasize the importance of understanding the elliptic terms on the geometric side of the trace formula. We shall discuss the general strategy, and how it pertains to these terms.
Codes MSC : 11F66 - Langlands L-functions; one variable Dirichlet series and functional equations
22E50 - Representations of Lie and linear algebraic groups over local fields
22E55 - Representations of Lie and linear algebraic groups over global fields and adèle rings
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 09/06/16 Date de captation : 24/05/16 Sous collection : Research talks arXiv category : Number Theory ; Representation Theory Domaine : Lie Theory and Generalizations ; Number Theory Format : MP4 (.mp4) - HD Durée : 01:13:54 Audience : Researchers Download : https://videos.cirm-math.fr/2016-05-24_Arthur.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Jean-Morlet Chair: Relative trace formula, periods, L-functions and harmonic analysis / Chaire Jean-Morlet : Formule des traces relatives, périodes, fonctions L et analyse harmoniqueOrganisateurs de la rencontre : Chaudouard, Pierre-Henri ; Heiermann, Volker ; Prasad, Dipendra ; Sakellaridis, Yiannis Dates : 23/05/16 - 27/05/16 Année de la rencontre : 2016 URL Congrès : https://www.chairejeanmorlet.com/1351.html
Données de citation
DOI : 10.24350/CIRM.V.18981203Citer cette vidéo: Arthur, James Greig (2016). Beyond Endoscopy and elliptic terms in the trace formula. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18981203 URI : http://dx.doi.org/10.24350/CIRM.V.18981203 |
Voir aussi
- [Multi angle] Theta lifts of tempered representations and Langlands parameters / Auteur de la Conférence Gan, Wee Teck.
- [Multi angle] The local Gan-Gross-Prasad conjecture for unitary groups / Auteur de la Conférence Beuzart-Plessis, Raphaël.
- [Multi angle] Congruent number problem and BSD conjecture / Auteur de la Conférence Zhang, Shou-Wu.
- [Multi angle] Tame relatively supercuspidal representations / Auteur de la Conférence Murnaghan, Fiona.
Bibliographie
- Altug, S.A. (2015). Beyond endoscopy via the trace formula. I: Poisson summation and isolation of special representations. Compositio Mathematica, 151(10), 1791-1820 - http://dx.doi.org/10.1112/S0010437X15007320
- Altug, S.A. (2015). Beyond endoscopy via the trace formula. II: Asymptotic expansions of Fourier transforms and bounds towards the Ramanujan conjecture.
- Altug, S.A. (2015). Beyond endoscopy via the trace formula. III: The standard representation.
- Arthug, James (2015). Problems Beyond Endoscopy. Preprint - http://www.math.toronto.edu/arthur/pdf/Arthur.pdf
- Frenkel, E., Langlands, R., & Ngô, B.C. (2010). Trace formula and functionality: the beginnings of a program. Annales des Sciences Mathématiques du Québec, 34(2), 199-243 - https://www.zbmath.org/?q=an:1267.11113
- Langlands, Robert P. (2004). Beyond endoscopy. In H. Hida, D. Ramakrishnan, & F. Shahidi (Eds.), Contributions to automorphic forms, geometry, and number theory (pp. 611-697). Baltimore, MD: Johns Hopkins University Press - https://www.zbmath.org/?q=an:1078.11033
