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Beyond Endoscopy and elliptic terms in the trace formula
Post-edited
Authors : Arthur, James Greig (Author of the conference)
CIRM (Publisher )
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 (Publisher )
Abstract :
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.
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/06/16 Conference Date : 24/05/16 Subseries : Research talks arXiv category : Number Theory ; Representation Theory Mathematical Area(s) : Lie Theory and Generalizations ; Number Theory Format : MP4 (.mp4) - HD Video Time : 01:13:54 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-05-24_Arthur.mp4 
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Information on the Event
Event Title : Jean-Morlet Chair: Relative trace formula, periods, L-functions and harmonic analysis / Chaire Jean-Morlet : Formule des traces relatives, périodes, fonctions L et analyse harmoniqueEvent Organizers : Chaudouard, Pierre-Henri ; Heiermann, Volker ; Prasad, Dipendra ; Sakellaridis, Yiannis Dates : 23/05/16 - 27/05/16 Event Year : 2016 Event URL : https://www.chairejeanmorlet.com/1351.html
Citation Data
DOI : 10.24350/CIRM.V.18981203Cite this video as: 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 |
See Also
- [Multi angle] Theta lifts of tempered representations and Langlands parameters / Author of the conference Gan, Wee Teck.
- [Multi angle] The local Gan-Gross-Prasad conjecture for unitary groups / Author of the conference Beuzart-Plessis, Raphaël.
- [Multi angle] Congruent number problem and BSD conjecture / Author of the conference Zhang, Shou-Wu.
- [Multi angle] Tame relatively supercuspidal representations / Author of the conference Murnaghan, Fiona.
Bibliography
- 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
