Seminario Teoría de Grupos
Random surfaces and systoles
Ponente: Bram Petri (Sorbonne Université)Fecha: miércoles 13 de noviembre de 2024 - 11:30Lugar: Aula Gris 2, ICMAT
Resumen:
The systole of a hyperbolic (or more generally Riemannian) surface is the length of its shortest closed geodesic. This invariant plays a role in many places in hyperbolic geometry. How large the systole can be as a function of the topology of the surface - a hyperbolic version of the Euclidean lattice packing density problem - is a notoriously difficult problem. I will speak about joint work with Mingkun Liu on random constructions of hyperbolic surfaces with large systoles.
