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DTSTART:20240310T070000
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DTSTART:20241103T060000
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DTSTART;TZID=America/Toronto:20250225T100000
SEQUENCE:0
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URL:https://uwaterloo.ca/pure-mathematics/events/number-theory-seminar-139
SUMMARY:Number Theory Seminar
CLASS:PUBLIC
DESCRIPTION:MIAO GU\, UNIVERSITY OF MICHIGAN\n\nOn Triple Product L-functio
 ns\n\nThe Poisson summation conjecture of Braverman-Kazhdan\, Lafforgue\, 
 Ngo\nand Sakellaridis is an ambitious proposal to prove analytic propertie
 s\nof quite general Langlands L-functions using vast generalizations of\nt
 he Poisson summation formula. In this talk\, we present the\nconstruction 
 of a generalized Whittaker induction such that the\nassociated L-function 
 is the product of the triple product L-function\nand L-functions whose ana
 lytic properties are understood. We then\nformulate an extension of the Po
 isson summation conjecture and prove\nthat it implies the expected analyti
 c properties of triple product\nL-functions. Finally\, we use the fiber bu
 ndle method to reduce this\nextended Poisson summation conjecture to a cas
 e of the Poisson\nsummation conjecture in which spectral methods can be em
 ployed\ntogether with certain local compatibility statements. This is join
 t\nwork with Jayce Getz\, Chun-Hsien Hsu\, and Spencer Leslie.\n\nMC 5479
DTSTAMP:20260408T022857Z
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