MPIM

Systoles of hyperbolic hybridsMPIM

by Sami Douba (Universität Bonn)

→ Europe/Berlin
MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

MPIM, Vivatsgasse, 7 - Lecture Hall

Max Planck Institute for Mathematics

120
Description

Oberseminar Differentialgeometrie

We show that hyperbolic manifolds with small systole are abundant in the following sense: in each dimension and for every positive integer m, one can find m pairwise incommensurable closed hyperbolic manifolds of the same volume each possessing a single shortest closed geodesic of the same length less than 1/m.