Galois actions on operads
Presenter
March 28, 2017
Keywords:
- Galois theory
- Galois orbits
- periods
- operads
- Galois representations
- absolute Galois group
- Grothendieck-Teichmuller group
- etale homotopy groups
- algebraic geometry
- Belyi's theorem
- homotopy theory
- homotopy types
- profinite groups
MSC:
- 11R34
- 11R32
- 11Rxx
- 11-xx
- 14-xx
- 14Cxx
- 14C30
- 14C35
- 55P15
- 55P65
- 55Pxx
- 55P48
- 14G32
Abstract
The Grothendieck-Teichmüller group is a profinite group that contains the absolute Galois group of the rational numbers and is conjecturally isomorphic to it. In this talk I will explain how one can understand this group using the homotopy theory of operads. This is joint work with Pedro Boavida de Brito and Marcy Robertson.