Seminar | April 10 | 4-5 p.m. | 3 Evans Hall
Yi Liu, BICMR, Peking University
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.