Geometry, Topology, and the Torelli group

The goal of this course is to explore mathematics in and around the Torelli group, with a particular emphasis on finiteness and non-finiteness properties. For specialists, the course will cover Johnson's contributions to the subject, as well as later developments, culminating in the recent proof of Ershov-He that the Johnson kernel is finitely generated. For non-specialists, the subject material will serve as a vehicle to visit a lot of beautiful and insightful mathematics, and will touch on 3-manifold topology, geometric group theory, and algebraic geometry.

The course meets Tuesday and Thursday at 1:30 in E202. Participants will volunteer to prepare lectures. Here is a provisional list of topics.

  • Other topics/ supplementary references