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.