Algebraic degrees and Galois conjugates of pseudo-Anosov stretch factors

 Geometric Structures on 3-manifolds Topic: Algebraic degrees and Galois conjugates of pseudo-Anosov stretch factors Speaker: Balazs Strenner Affiliation: Member, School of Mathematics Date: Thursday, November 12 Time/Room: 4:00pm - 5:00pm/S-101 Video Link: https://video.ias.edu/geostrut/2015/1112-Strenner

We consider questions that arise naturally from the subject of the first talk. The have two main results: 1. In genus $g$, the algebraic degrees of pseudo-Anosov stretch factors include all even numbers between $2$ and $6g - 6$; 2. The Galois conjugates of stretch factors arising from Penner’s construction are dense in the complex plane. The techniques may be characterized as asymptotic linear algebra.