Topological entropy of automorphisms of free groups

Series
Geometry Topology Student Seminar
Time
Wednesday, September 5, 2012 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Hyunshik Shin – School of Mathematics
Organizer
Hyunshik Shin
The main goal is to characterize the dilatation of an outer automorphisms of free groups. It is known that for any automorphism, its dilatation is a weak Perron number. The converse was recently shown by Thurston; for every weak Perron number, there is an automorphism represented by a train track map. We will discuss Thurston's theorem and its proof.