Claire Burrin (Rutgers University), Windings of closed geodesics
For closed curves in the plane, the winding number is famously a homotopy invariant, but will not distinguish two curves that, say, differ by a null-homotopic loop. However, in the case of regular curves, the winding number is also a regular homotopy invariant. For a (cusped) hyperbolic hyperbolic surface equipped with a non-vanishing vector field, there is an analogous invariant. We examine growth, distribution, and density results for the number of 'prime' geodesics of fixed winding. This is based on joint work with Flemming von Essen.
October 18, 2018
12:30 PM — 1:30 PM
The City College of New York
Convent Avenue & 138th Street, New York, NY 10031
North Academic Center (NAC)