Beyond Endoscopy and elliptic terms in the trace formula | Vidéo | Carmin.tv

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Beyond Endoscopy and elliptic terms in the trace formula

By James Greig Arthur

Appears in collection : Jean-Morlet Chair: Relative trace formula, periods, L-functions and harmonic analysis / Chaire Jean-Morlet : Formule des traces relatives, périodes, fonctions L et analyse harmonique

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.

Information about the video

Date of recording 24/05/2016
Date of publication 09/06/2016
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18981203
Cite this video Arthur, James Greig (24/05/2016). Beyond Endoscopy and elliptic terms in the trace formula. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18981203
URL https://dx.doi.org/10.24350/CIRM.V.18981203

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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. <arXiv:1506.08911> - http://arxiv.org/abs/1506.08911
Altug, S.A. (2015). Beyond endoscopy via the trace formula. III: The standard representation. <arXiv:1512.09249> - http://arxiv.org/abs/1512.09249
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

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