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Geometry-Topology Seminar

Thursday, April 4, 2019 - 4:30pm

Regina Rotman

University of Toronto and IAS


University of Pennsylvania


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.