Invariant measures for horospherical actions and Anosov groups.

Seminar: 
Group Actions and Dynamics
Event time: 
Monday, September 28, 2020 - 4:00pm
Location: 
https://yale.zoom.us/j/91914627469?
Speaker: 
Minju Lee
Speaker affiliation: 
Yale
Event description: 
Let $\Gamma$ be an Anosov subgroup of a connected semisimple real linear Lie group $G$. For a maximal horospherical subgroup $N$ of $G$, we show that the space of all non-trivial $NM$-invariant ergodic and $A$-quasi-invariant Radon measures on $\Gamma\backslash G$, up to proportionality, is homeomorphic to $\mathbb{R}^{\text{rank},G-1}$, where $A$ is a maximal real split torus and $M$ is a maximal compact subgroup which normalizes $N$. This is joint work with Hee Oh.