**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 12:00–13:00 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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