On triple product L-functions

On triple product L-functions

Jayce Robert Getz, Duke University

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Establishing the conjectured analytic properties of triple product L-functions is a crucial case of Langlands functoriality.  However, little is known.  I will present work in progress on the case of triples of automorphic representations on GL_3; in some sense this is the smallest case that appears out of reach via standard techniques.  The approach is based on a the beautiful fibration method of Braverman and Kazhdan for constructing Schwartz spaces and proving analogues of the Poisson summation formula.