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SUMMARY:Jayce Robert Getz (Duke University)
DTSTART:20241218T091500Z
DTEND:20241218T100000Z
DTSTAMP:20260430T200837Z
UID:LNT2024/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNT2024/2/">
 Triple product L-functions: first reduction</a>\nby Jayce Robert Getz (Duk
 e University) as part of Luxembourg Number Theory Day 2024\n\nLecture held
  in Room MNO 1.030 in the Maison du Nombre building\, Belval Campus.\n\nAb
 stract\nI will describe a period integral that unfolds to the triple produ
 ct L-function times L-functions whose analytic properties are understood.
   Motivated by the period integral\, I will then formulate an extension o
 f the Poisson summation conjecture of  Braverman-Kazhdan\, L. Lafforgue\,
  Ngo\, and Sakellaridis that implies the expected analytic properties of t
 riple product L-functions. Time permitting\, I will explain how to reduce 
 this case of the Poisson summation conjecture to a simpler case in which s
 pectral methods can be employed together with certain local compatibility 
 statements.  This is joint work with P. Gu\, C-H. Hsu\, and S. Leslie.\n
LOCATION:https://researchseminars.org/talk/LNT2024/2/
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