Combinatorial arithmetic geometry - G.Horel

Mar 21, 2023  ·   From Paris France  ·   Event ``Arithmetic & Homotopic Galois Theory 2023''

Abstract

I will explain the Galois action on the moduli spaces of curves and variants thereof from a combinatorial and homotopical perspective. This circle of ideas originates in the work of Drinfel'd and comes from seeing these moduli spaces as capturing the universal operations on braided monoidal categories. I will mention some consequences in deformation theory and low dimensional topology.