Topology Seminar (Main Talk): Virtual homological eigenvalues of surface automorphisms (Part II)

Seminar | April 10 | 4-5 p.m. | 3 Evans Hall

 Yi Liu, BICMR, Peking University

 Department of Mathematics

Given a mapping class of a closed orientable surface, we look at any lift of the mapping class to any finite cover of the surface. An eigenvalue of the induced homological action of the lift will be called a virtual homological eigenvalue. How much about the mapping class can we learn through virtual homological eigenvalues? In this talk, I will discuss some results related to this question. In particular, I will present some ways to combine the Nielsen fixed point theory with the more recent virtual specialization techniques in 3-manifold topology.