Speaker: Dr. Matthieu Gendulphe, University of Bordeaux and Bar Ilan University
Title: Systolic landscape in Euler characteristic -1
Summary: We saw last week that the systole (the length of the shortest
geodesic) defines a map on the Teichmuller space (the space isotopy
classes of hyperbolic metrics on a given surface) invariant under the
action of the mapping class group (homeotopies group). This map has
finitely many critical points (up to the action of the mapping class
group), and among them are the maxima.
The aim of this talk is to obtain an exhaustive description of the
systole on the Teichmuller space of the closed surface of Euler
characteristic -1. In particular, we will obtain all critical points,
and the global maximum of the systole.