Math Seminars
Jayadev Athreya
University of Chicago
The Teichmueller geodesic flow
We prove quantitative recurrence and large deviations results for the
Teichmuller geodesic flow on the connected components of strata of the
moduli space Q_g of holomorphic unit-area quadratic differentials on a
compact genus g>1 surface. We also prove analogous results for certain
symmetric random walks on Q_g.
The first talk will provide an introduction to quadratic differentials and
strata, and the second will focus on my results.