Operads, moduli space of Riemann surfaces and the Grothendieck-Teichmüller group

Speaker:

Geoffroy Horel

Affiliation:

Université Paris 13, Institut Galilée/MPIM

Date:

Fri, 30/11/2018 - 10:30 - 12:30

Location:

MPIM Lecture Hall [2]

Parent event:

Working group on Grothendieck-Teichmüller groups [3]

After recalling the relevant definitions, I will explain how one can view the Grothendieck-Teichmüller group as the group of automorphisms of the operad of moduli spaces of genus zero Riemann surfaces. If time permits, I will also explain a homotopical version of this result which is due to Pedro Boavida de Brito, Marcy Robertson and myself.