We describe a best triangulation for almost every quadratic differential, and describe how it evolves along a Teichmueller geodesic. From the combinatorics of this sequence of triangulations, we obtain a proof that whenever a geodesic spends a definite fraction of its time in the thick part of moduli space (i.e. has no short curves most of the time) then a neighborhood in its strongly stable leaf is exponentially contracted by the flow.

https://umich.zoom.us/j/94396309135?pwd=ZVpVcVZPUm1tL3R3ZzlvTjlNRlNCZz09 Speaker(s): Ian Frankel (Queen's University)