A Godement-Jacquet type integral and the metaplectic Shalika model

Tuesday, April 26, 2016 - 1:00pm
MSB 111
Eyal Kaplan (Ohio State University)

In a joint work with Jan Mollers, we present a novel integral representation for a quotient of global automorphic L-functions, the symmetric square over the exterior square. The pole of this integral characterizes a period of a residual representation of an Eisenstein series. The construction involves the study of local and global aspects of a new model for double covers of general linear groups, the metaplectic Shalika model. In particular, we prove uniqueness results over p-adic and Archimedean fields, and a new Casselman-Shalika type formula.