GGT Seminar: Yannick Krifka (MPI Bonn): Volume bounds for the canonical lift complement of a random geodesic

Thursday, 23.06.2022 15:00 im Raum SRZ 213

Mathematik und Informatik

Every geodesic loop on a closed hyperbolic surface lifts canonically to the unit tangent bundle and its complement is a three-manifold. Foulon and Hasselblatt showed that this three-manifold is hyperbolic if the geodesic loop is filling. In this talk we will study the hyperbolic volume of such complements. More precisely, we will see that for a ?generic" filling geodesic there is a lower bound for the volume of its complement in terms of its hyperbolic length. This is joint work with Tommaso Cremaschi, Didac Martinez-Granado and Franco Vargas Pallete.

Angelegt am Tuesday, 31.05.2022 17:01 von ggardam
Geändert am Monday, 20.06.2022 15:27 von ggardam
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