Published on *Department of Mathematics* (https://math.yale.edu)

November 6, 2019 - 4:15pm

LOM 215

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.