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Geometry-Topology Seminar

Thursday, April 4, 2019 - 4:30pm

Regina Rotman

University of Toronto and IAS

Location

University of Pennsylvania

DRL 4C8

This is the first of two talks in our seminar today, sponsored jointly with Bryn Mawr, Haverford and Temple.


I will talk about periodic geodesics, geodesic loops, and geodesic nets on Riemannian manifolds. More specifically, I will discuss some curvature-free upper bounds for compact manifolds and the existence results for non-compact manifolds. In particular, geodesic nets turn out to be useful for proving results about geodesic loops and periodic geodesics.