Systoles of hyperbolic hybridsMPIM

by Sami Douba (Universität Bonn)

Thursday Oct 29, 2026, 4:30 PM → 6:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

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.