## The systole of a random surface

Site:
Date:
01/06/2015 - 15:00 - 16:00
Salle:
P2 131
Orateur:
PETRI Bram
Localisation:
Université de Fribourg
Localisation:
Suisse
Résumé:

In this talk a random surface will be a surface constructed by randomly gluing together an even number of triangles that carry a fixed metric. The model lends itself particularly well to studying the geometry of typical high genus hyperbolic surfaces. For example, it turns out that the expected value of the length of the shortest non-contractible curve, the systole, of such a surface converges to a constant. In this talk I will explain what goes into the proof of this fact and how this relates to the theory of random regular graphs and random elements in the symmetric group.