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SUMMARY:Santiago Molina (UPC)
DTSTART:20210513T180000Z
DTEND:20210513T190000Z
DTSTAMP:20260423T021308Z
UID:LATeN/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LATeN/44/">W
 aldspurger formula in higher cohomology</a>\nby Santiago Molina (UPC) as p
 art of Coloquio Latinoamericano de Teoría de Números\n\n\nAbstract\nLet 
 $G$ be the algebraic group attached to a quaternion algebra. Waldspurger f
 ormula relates a period integral of an automorphic form of $G$ over a maxi
 mal torus with the value of the corresponding L-function at critical point
 s. The Eichler-Shimura isomorphism transports the automorphic form to high
 er cohomology classes. In this work\, we define a canonical homology class
  associated with the maximal torus that admits a natural pairing with the 
 Eichler-Shimura cohomology class. We prove that this pairing equals to the
  value of the L-function at critical points generalising Waldspurger formu
 la.\n
LOCATION:https://researchseminars.org/talk/LATeN/44/
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