Speaker
Matthieu Gendulphe
(Universita di Roma)
Description
This talk is devoted to the injectivity radius of hyperbolic surfaces.
Our aim is to study this metric invariant as a function over the Teichmüller space of pointed hyperbolic surfaces.
Using a general framework developed by Bavard and Akrout, we will show that this function is a topological Morse function, then we will determine its critical points.
