Number Theory Seminar
Rankin-Selberg integrals derived from the doubling method
David Soudry (Tel Aviv)
Location: Hill 525
Date & time: Tuesday, 19 November 2019 at 2:00PM - 3:00PM
There are various constructions of Rankin-Selberg integrals representing L-functions for pairs of irreducible, automorphic, cuspidal representations on a classical group G and on GL(n), respectively. Some of these constructions are restricted to cuspidal representations on G, which are globally generic, or admit certain other global models (Bessel models, Fourier-Jacobi models, periods). Recently, Cai, Friedberg, Ginzburg and Kaplan generalized the doubling method of Piatetski-Shapiro and Rallis (n=1), and obtained global integrals which represent the L-functions above, without any restriction on the cuspidal representation on G. I will explain a method that shows how to drive the families of the integrals above, and, in principle, also new global integrals, from the generalized doubling integrals.
This a joint work with David Ginzburg.