Resumen de Reconstructing global fields from dynamics in the abelianized Galois group

Gunther Cornelissen, Xin Li, Matilde Marcolli, Harry Smit

• We study a dynamical system induced by the Artin reciprocity map for a global field. We translate the conjugacy of such dynamical systems into various arithmetical properties that are equivalent to field isomorphism, relating it to anabelian geometry.