Seminar:
Group Actions, Geometry and Dynamics
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, GG and a discrete torsion-free subgroup Γ<GΓ<G. When GG has rank one, there is an important, well-understood connection between the growth rate of elements of ΓΓ-orbits, bounds on the spectrum, and temperedness, or more generally properties of the unitary L2L2 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.