Profinite completion and surface mapping classes
[ 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. ]
Venue: Lecture Hall, Institute for Advanced Study in Mathematics, No.7 teaching building
Upcoming Seminar：
Date: | June 24 Th 3:00pm -- 4:30 pm |
Speaker: | Yi Liu (Beijing International Center for Mathematical Research, Peking University) |
Title: | Profinite completion and surface mapping classes |
Abstract: | 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. |
欢迎大家参加！