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Texas A&M Number Theory Seminar

Department of Mathematics
Milner 216
Wednesdays, 1:45-2:45 PM

Riad Masri

CRM-Montreal/McGill University

Friday, March 21

Milner 216, 2:00PM

Title:Average values of Hecke L-functions via Galois suborbits of Heegner points

Abstract: The 'canonical' Hecke characters are an interesting class of algebraic Hecke characters which arise in connection with Benedict Gross's theory of elliptic Q-curves. In this talk I will show how the equidistribution of Galois suborbits of Heegner points on modular curves can be used to obtain an asymptotic formula for the average central L-value of these characters. I will then show how this formula can be combined with subconvexity bounds of Duke-Friedlander-Iwaniec to obtain quantitative nonvanishing theorems. This is joint work with Tonghai Yang.