Conference abstracts

Session S13 - Number Theory

July 25, 15:50 ~ 16:20

Waldspurger formulas for Hilbert modular forms

Nicolás Sirolli

Universidad de Buenos Aires, Argentina   -

Computing central values of L-functions attached to modular forms is interesting because of the arithmetic information they encode. These values are related to Fourier coefficients of half-integral weight modular forms and the Shimura correspondence, as shown in great generality by Waldspurger.

In this talk we will show an explicit Waldspurger type formula for Hilbert modular forms, which is valid under rather mild hypotheses.

Joint work with Gonzalo Tornaría (Universidad de la República).

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