Virtual homological spectral radii for automorphisms of surfaces

Virtual homological spectral radii for automorphisms of surfaces

Written by:GAPA
主题
Virtual homological spectral radii for automorphisms of surfaces
活动时间
-
活动地址
Room 415
主讲人
Yi Liu (BICMR)

Abstract: In this talk, I will report some recent progress on virtual properties of surface automorphisms. Here a surface automorphism refers to any orientation-preserving self-homeomorphism of a compact orientable surface, and a virtual property refers to a property that holds up to lifting to some finite covering space. It has been conjectured by C. T. McMullen that any surface automorphism of positive mapping-class entropy possesses a virtual homological eigenvalue which lies outside the unit circle of the complex plane. I will give a general introduction to the background on this topic, and discuss some ideas to prove it.