Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Geodesic and Horocycle Flow on Hyperbolic Surfaces

Student-Run Geometry/Topology Seminar

Speaker: Rohit Parathundyil Thomas, UC Davis
Location: 2112 MSB
Start time: Thu, Feb 2 2006, 1:10PM

Unlike the geodesic flow on surfaces of nonnegative curvature, the geodesic flow on hyperbolic surfaces is ergodic. On compact hyperbolic surfaces, the horocycle flow is ergodic as well. After briefly introducing the basics of two-dimensional hyperbolic geometry, I'll discuss the geodesic and horocycle flows and characterize geodesic and horocycle orbits.