Speaker
Prof.
Aurélien Djament
(Paris)
Description
Automorphism groups of free groups are related to mapping class groups and gives rise to nice subgroups IA, analogous to Torelli groups, with two fundamental filtrations: the Johnson-Andreadakis one, and its lower central series. All these objects carry a deep structure and are very hard to approach. In this talk, we will give a survey of what the use of functor categories can bring to their study, in particular: some stable homological computations with twisted coefficients or nice and precise ways to express stable properties (most of them being still open), in the spirit of representation stability.
