Event time:
Friday, September 20, 2013 - 9:00am to 10:00am
Location:
205LOM
Speaker:
Tarik Aougab
Speaker affiliation:
Yale University
Event description:
A pair of simple closed curves on a genus g surface are said to fill the surface if the complement of their union is a disjoint union of disks. In this talk, we’ll consider how to count the number of such filling pairs which are combinatorially optimal in a certain way. Time permitting, we’ll discuss connections and applications to the moduli space of riemann surfaces and the mapping class group. I won’t be assuming any knowledge about any of the things mentioned above, so the talk should be self-contained. This is joint work with S. Huang.