"Applications of the relative trace formula to central L-values"

David Whitehouse

Abstract: I will describe a couple of applications of the relative trace
formula to central values of twisted quadratic base change L-functions for
GL(2). The first is to prove explicit formulae, generalizing work of Gross,
Zhang, Xue and Popa, relating this central value to integrals of automorphic
forms over tori. The second is to obtain exact average value results for
Hilbert modular forms. This talk is based on separate joint works with
Kimball Martin and Brooke Feigon.



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