The Grothendieck-Teichmüller Group and Galois Theory of the Rational Numbers – European Network GTEM

Abstract

GTEM is an acronym for Galois Theory and Explicit Methods. A selection from the activities within the network is presented. We focus on nonabelian Galois action, Grothendieck–Teichmüller theory and anabelian geometry. The style is expository and proofs are omitted.