Seminars & Colloquia Calendar
Eisenstein Series and the Cubic Moment for PGL(2)
Paul Nelson (ETH Zurich/IAS)
Location: Hill 425
Date & time: Tuesday, 04 February 2020 at 2:00PM - 3:00PM
Abstract: We will discuss how to study the cubic moment of any family of automorphic L-functions on PGL(2) using regularized diagonal periods of Eisenstein series, following a strategy suggested by Michel--Venkatesh. Applications include generalizations to the setting of number fields of some results of Conrey--Iwaniec and Petrow--Young, improved estimates for representation numbers of ternary quadratic forms over number fields, and improvements to the prime geodesic theorem on arithmetic hyperbolic 3-folds.
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