20-24 November 2017
Europe/Paris timezone

Injectivity radius of hyperbolic surfaces and Morse functions over moduli spaces

Not scheduled
50m

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.

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