Rankin-Selberg Integrals, Langlands Functoriality and Automorphic Descent

Seminar: 
Colloquium
Event time: 
Wednesday, November 6, 2019 - 4:15pm
Location: 
LOM 215
Speaker: 
David Soudry
Speaker affiliation: 
Tel Aviv University
Event description: 
Abstract: I will survey certain families of integrals of Rankin-Selberg type, which represent $L$-functions on $G\times GL(n)$ (for pairs of  cuspidal representations), where $G$ is a symplectic group or a special orthogonal group. The properties of $L$-functions derived from these integrals can be used to establish Langlands functorial lifting from $G$ to $GL(N)$ (appropriate N), as well as to construct explicitly the full $L$-packet of cuspidal representations on $G$, which lift to a given self-dual cuspidal representation on $GL(N)$. I will go over the basic notions needed for the statement of such theorems. This is a joint work with David Ginzburg.