Profinite completion and surface mapping classes

Date: 2021-06-24 15:19:30
Time: 15:00-16:30
Venue: Yuquan Campus
Speaker: LIU Yi
Category: Talk & Lecture

Introduction: IASM visitors plan to organize an irregular seminar from June 20 to July 20. We will arrange about eight 1.5-hour introductory talks, on recent topics in hyperbolic geometry (and low-dimensional topology). The purpose of this seminar is to enhance communication and learn advances in the area. 

Upcoming Seminar:

Speaker: LIU Yi (Beijing International Center for Mathematical Research, Peking University)

Venue: Lecture Hall, Institute for Advanced Study in Mathematics, No.7 Teaching Building, Yuquan Campus


In two talks, I plan to discuss recent studies on 2- or 3-manifold groups and their profinite completions. The profinite completion of a group refers to the inverse limit of all the finite quotient groups of that group. The topic of profinite completion has attracted increasing interest in low-dimensional topology during the past decade. I will try to make my two talks focus on relatively different directions. In the first talk, I will discuss surface mapping classes and their induced action on the profinite surface group. The next talk will be about hyperbolic 3-manifolds and the profinite completion of their fundamental groups.