## Topology Seminar (Introductory Talk): Virtual homological eigenvalues of surface automorphisms (Part I)

Seminar | April 10 | 2-3 p.m. | 740 Evans Hall

Yi Liu, BICMR, Peking University

Department of Mathematics

Given a pseudo-Anosov mapping class of a closed orientable surface, there exists a finite cover of the surface to which the mapping class lifts, such that the induced action on the first homology has at least one eigenvalue lying outside of the unit circle. In this talk, I will review some background related to the above result, and its relations with twisted Reidemeister torsion and Fried's cone of homological directions.

c_abbott@berkeley.edu