Geometry, Topology and Dynamics Seminar
Tarik Aougab
Yale University
Minimally intersecting filling pairs on surfaces
Abstract: Let $S_{g}$ denote the closed orientable surface of genus $g$. We show the existence of exponentially many mapping class group orbits of pairs of simple closed curves on $S_{g}$ which fill the surface, and intersect minimally amongst all filling pairs. We will demonstrate the main idea of the construction, and discuss applications of minimally intersecting filling pairs to understanding how the coarse geometry of the curve complex explicitly depends on the topology of the underlying surface.
Monday April 14, 2014 at 3:00 PM in SEO 636