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SUMMARY:Gonzalo Tornaría (Universidad de la República)
DTSTART:20201216T140000Z
DTEND:20201216T150000Z
DTSTAMP:20260416T044531Z
UID:NTRV/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTRV/5/">An 
 explicit Waldspurger formula for Hilbert modular forms</a>\nby Gonzalo Tor
 naría (Universidad de la República) as part of Number Theory and Represe
 ntations in Valparaiso\n\n\nAbstract\nComputing central values of $L$-func
 tions attached to modular forms is interesting because of the arithmetic i
 nformation they encode. These values are related to Fourier coefficients o
 f half-integral weight modular forms and the Shimura correspondence\, as s
 hown in great generality by Waldspurger.\n\nWhen $g$ is a classical modula
 r form of odd square-free level\, a theorem of Baruch and Mao shows the ex
 istence of a finite set of modular forms of half-integral weight\, togethe
 r with an explicit formula for twisted central values $L(1/2\,g\,D)$ for e
 very fundamental discriminant $D$.\n\nIn this talk I will present a genera
 lization of this result to all levels except perfect squares\, and to Hilb
 ert modular forms over an arbitrary totally real number field.\n\nJoint wo
 rk with Nicolás Sirolli (Universidad de Buenos Aires).\n
LOCATION:https://researchseminars.org/talk/NTRV/5/
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