Closed geodesics on surfaces.

Orateur

PARLIER, Hugo

Résumé

This talk will be about closed geodesics on hyperbolic surfaces and some of their properties. In particular, the following questions will be discussed:
- Given an integer n > 0, among all closed geodesics with at least n self-intersection points,there is at least one of shortest length. How many self-intersection points doessuch a geodesic have?
- Simple closed geodesics are nowhere dense on a surface, so to ”fill” a surface you need self-intersection points. How many?
Based on oint work with Viveka Erlandsson and with Ara Basmajian and Juan Souto