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Student Dynamics Seminar

Horocycle flow in hyperbolic surfaces
Thursday, March 15, 2018
4:00-5:00 PM
1866 East Hall Map
Horocycle flow in the finite volume quotients of the hyperbolic plane are perhaps the simplest examples of unipotent flows in homogeneous spaces. The talk will explore the various interesting properties of horocyle flow that sets it apart from other flows like the geodesic flow. Ergodicity, minimality (all orbits are dense), unique ergodicity (existence of unique ergodic measure) and equi-distribution properties of such flows in hyperbolic surfaces will be discussed. These results provide the simplest examples of Ratner-type measure classification theorems. Time permitting, we will try to look at applications of such flows in number theory.

The talk will be introductory and I will provide as many pictures as possible. Speaker(s): Mitul Islam (UM)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics