Joint equidistribution of properly immersed maximal flats and holonomies in Anosov representations(POSTPONED)

Seminar: 
Group Actions, Geometry and Dynamics
Event time: 
Monday, October 31, 2022 - 4:00pm
Location: 
LOM 206
Speaker: 
Elijah Fromm
Speaker affiliation: 
Yale
Event description: 

Let $G$ be a connected semisimple real algebraic group, $K<G$ a maximal compact subgroup, and $\Gamma<G$ a Zariski dense discrete subgroup. We are interested in the distribution of  properly immersed maximal   flats  of a locally symmetric space $\Gamma\backslash G/K$, as well as the distribution of their holonomies (elliptic components of the stabilizer in $\Gamma$). Margulis, Mohammadi, and Oh have shown joint equidistribution of closed geodesics and holonomies in the rank $1$ case when $\Gamma$ is geometrically finite. We show joint equidistribution in higher rank, under an Anosov assumption on $\Gamma$. I will present an overview of our result and the method of proof. Joint work with Michael Chow.