Joining measures for horocycle flows on abelian covers

Seminar: 
Group Actions and Dynamics
Event time: 
Monday, April 25, 2016 - 12:15pm to 1:15pm
Location: 
205 LOM
Speaker: 
Wenyu Pan
Speaker affiliation: 
Yale
Event description: 

Let $S_0$ be a $\mathbb{Z}^d$ cover of a compact hyperbolic surface for $d=1,2$. We classify all locally finite joining measures for
horocycle flows on the product $S_0\times S$ for any hyperbolic surface $S$.
We will also discuss several applications of this result.