Pseudo-Anosov constructions and Penner's conjecture

Geometric Structures on 3-manifolds
Topic:Pseudo-Anosov constructions and Penner's conjecture
Speaker:Balazs Strenner
Affiliation:Member, School of Mathematics
Date:Thursday, November 12
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/geostruct/2015/1112-Strenner

In this first talk, we give an introduction to Penner’s construction of pseudo-Anosov mapping classes. Penner conjectured that all pseudo-Anosov maps arise from this construction up to finite power. We give an elementary proof (joint with Hyunshik Shin) that this conjecture is false. The main idea is to consider the Galois conjugates of pseudo-Anosov stretch factors.