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UID:3661f6d71fa75f7befefefdcc9f29808
CATEGORIES:Number Theory Seminar
CREATED:20251009T171911
SUMMARY:On Triple product L-functions
LOCATION:HLL 525
DESCRIPTION:<div data-olk-copy-source="MessageBody" style="border: 0px; font-style: nor
 mal; font-weight: 400; font-size: 15px; line-height: inherit; font-family: 
 'Segoe UI', 'Segoe UI Web (West European)', -apple-system, 'system-ui', Rob
 oto, 'Helvetica Neue', sans-serif; margin: 0px; padding: 0px; vertical-alig
 n: baseline; color: #242424; letter-spacing: normal; orphans: 2; text-align
 : start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0
 px; white-space: normal; background-color: #ffffff;">Abstract:&nbsp;The Poi
 sson summation conjecture of Braverman-Kazhdan, L. Lafforgue, Ngo and Sakel
 laridis is an ambitious proposal to prove analytic properties of quite gene
 ral Langlands L-functions using vast generalizations of the Poisson summati
 on formula. In this talk, we introduce multivariable zeta integrals which u
 nfold to Euler product representing the triple product L-functions times a 
 product of L-functions with known analytic properties.&nbsp;We then formula
 te a generalization of the Poisson summation conjecture and show it implies
  the expected analytic properties of triple product L-functions. Finally, w
 e propose a strategy, the fiber bundle method,&nbsp;to reduce this generali
 zed conjecture to a case of the Poisson summation conjecture in which spect
 ral methods can be employed together with certain local compatibility state
 ments.&nbsp;This is joint work with Jayce Getz, Chun-Hsien Hsu, and Spencer
  Leslie.&nbsp;</div>
CONTACT:Miao (Pam) Gu
DTSTAMP:20260826T102358
DTSTART;TZID=America/New_York:20251014T140000
DTEND;TZID=America/New_York:20251014T150000
SEQUENCE:0
TRANSP:OPAQUE
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