The 3rd MSJ-SI

The Mathematical Society of Japan, Seasonal Institute

Development of Galois-Teichmüller Theory
and Anabelian Geometry

October 26 Tuesday, 11:30--12:20
I. Marin (Institut de Mathematiques de Jussieu, Universite Paris Diderot)
Rigidity characters for the Grothendieck-Teichmüller group
Drawing a parallel with the theory of rigid local systems and the possibility they provide to construct representations of the braid group, this talk will present a notion of 'GT-rigid' representations of the braid groups: these are representations whose isomorphism class is unchanged under the natural action of the Grothendieck-Teichmüller group. We will show how to recover the extensions of some natural arithmetic character in this way.