Seminar Event Detail

Student Geometry/Topology

Date:  Tuesday, April 09, 2019
Location:  1866 East Hall (3:00 PM to 4:00 PM)

Title:  The geodesic flow on symmetric spaces

Abstract:   The goal of this talk is to understands geodesics and the geodesic flow on "nice" spaces, like symmetric spaces. We'll see that on such spaces, the geometry of the space can be translated more or less completely into linear algebra. This will also allow us to give an easy proof of the fact that the geodesic flow on a negatively curved space is ergodic. We'll also work out a lot of examples, where the translation to linear algebra is easy to see, like the hyperbolic plane $\mathbb{H}^2$. This talk will assume no prior knowledge of ergodic theory or symmetric spaces.


Speaker:  Sayantan Khan
Institution:  University of Michigan

Event Organizer:     


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