Speaker
Lei Yang, National University of Singapore
Abstract
In this talk, I will discuss the effective equidistribution of unipotent orbits in \(G/\Gamma\) where \(G\) is a product of \(SL_2\). The key is to bootstrap the dimension of the orbit under a random walk. I will focus on the analysis of the obstruction of the bootstrapping. The proof relies on a Bourgain type projection theorem which gives local structures and a dynamical approach which combines the local structures to a global structure. This is a joint work with Elon Lindenstrauss and Amir Mohammadi.