Colloquium: Tuesday, November 20, 2018. Speaker: Eyal Kaplan (Bar-Ilan). Title: “Doubling constructions and applications”.
Integral representations are a fundamental tool in the study of automorphic L functions.
One of these constructions, developed by Piatetski-Shapiro and Rallis in the late 80s,
produced the standard L function for any cuspidal representation of a classical group,
or its rank-1 twist. In a recent collaboration with Cai, Friedberg and Ginzburg, we extended
the doubling method to produce the tensor product L function of G X GL(k), where G
is a classical group and k is arbitrary. I will discuss recent applications of this construction
to the study of automorphic forms on classical groups as well as on covering groups.
