Algebraic integers arising as stretch factors of surface homemorphisms

31 January 2018
16:00
Mehdi Yazdi
Abstract

I will talk about the properties of algebraic integers that can arise as stretch factors of pseudo-Anosoc maps. I will mention a conjecture of Fried on which numbers supposedly arise and Thurston’s theorem that proves a similar result in the context of automorphisms of free groups. Then I will talk about recent developments on the Fried conjecture namely, every Salem number has a power arising as a stretch factor. 

  • Junior Topology and Group Theory Seminar