Random mapping class group elements have generic foliations
Joseph Maher (CUNY)
Location: Hill 525
Date & time: Tuesday, 30 January 2018 at 3:30PM - 4:30PM
Abstract: A pseudo-Anosov element of the mapping class group determines a quadratic differential, which lies in the principal stratum if all zeroes are simple, equivalently, if the corresponding foliations have trivalent singularities. We show that this occurs with asymptotic probability one for random walks on the mapping class group, and furthermore, the hitting measure on the boundary gives weight zero to foliations with saddle connections.
This is joint work with Vaibhav Gadre.