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Junior Geometry Seminar

Geodesics in H^3 and Bianchi groups

Katie McKeon, Rutgers University

Location:  Hill 705
Date & time: Thursday, 08 February 2018 at 11:00AM - 11:45AM

Abstract:  We will explain the action of SL(2,C) on the upper half-plane model of hyperbolic three-space H^3 via quaternions, and 3D analogues of the modular surface, Bianchi manifolds. Our goal is to study the behavior of closed geodesics in the manifold using symbolic dynamics.

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