Event time:

Monday, October 28, 2024 - 4:15pm

Location:

KT205

Speaker:

Christopher Lutsko

Speaker affiliation:

University of Houston

Event description:

Consider a semi-simple Lie group, $G$ and a discrete torsion-free subgroup $\Gamma < G$. When $G$ has rank one, there is an important, well-understood connection between the growth rate of elements of $\Gamma$-orbits, bounds on the spectrum, and temperedness, or more generally properties of the unitary $L^2$ representation (due, in part, to work of Elstrodt and Patterson). In this talk I will present an extension of this connection to higher rank. This is joint work with Tobias Weich and Lasse Wolf.