NEW GLOBAL INTEGRALS FOR TENSOR PRODUCT $L$-FUNCTIONS (Automorphic Forms and Related Topics)

Abstract

This is a report on my joint work [CFGK17] with Solomon Friedberg, David Ginzburg, and Eyal Kaplan. We present a family of global integrals representing tensor product L-functions of classical groups with general linear groups. Our construction is uniform over all classical groups and their non-linear coverings, and is applicable to all cuspidal representations.