Pseudo-Anosov constructions and Penner's conjecture

Algebraic degrees and Galois conjugates of pseudo-Anosov stretch factors - Strenner

Balazs Strenner
Member, School of Mathematics
November 12, 2015
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.