SMS scnews item created by Stephan Tillmann at Tue 17 Mar 2015 1530
Type: Seminar
Distribution: World
Expiry: 16 Jun 2015
Calendar1: 19 Mar 2015 1200-1300
CalLoc1: Carslaw 535A
Auth: tillmann@p710.pc (assumed)

Geometry-Topology-Analysis Seminar

Geometry and Dynamics

Andy Hammerlindl

Thursday 19 March 2015 from 12:0013:00 in Carslaw 535A

Please join us for lunch at the Grandstand after the talk!

Abstract: Consider a function from the circle to itself such that the derivative is greater than one at every point. Examples are maps of the form \(f(x) = mx\) for integers \(m > 1\). In some sense, these are the only possible examples. This fact and the corresponding question for maps on higher dimensional manifolds was a major motivation for Gromov to develop pioneering results in the field of geometric group theory.

In this talk, I'll give an overview of this and other results relating dynamical systems to the geometry of the manifolds on which they act and (time permitting) talk about my own work in the area.

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