Algebra/Topology Seminar

Speaker: Oscar Randal-Williams

Title: The Torelli Lie algebra

Abstract: The Mal'cev Lie algebra associated to the Torelli group of a surface was completely determined by Hain (1993), by an explicit presentation which is quadratic if the genus is at least 4. I will explain some work, joint with A. Kupers, which exploits the formal similarity between surfaces and certain higher-dimensional manifolds to prove some new results about this Lie algebra: it is stably Koszul, and the geometric Johnson homomorphism is (nearly) stably injective.

The physical location of the seminar will be the Auditorium 6 at the mathematical institute. If you would like to attend online and need the Zoom password, contact the organisers.