Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups

  • Benjamin Collas

    Universität Bayreuth, Germany
  • Pierre Dèbes

    Université Lille I, Villeneuve-d'Ascq, France
  • Michael D. Fried

    University of California, Irvine, USA

Abstract

The geometric study of the absolute Galois group of the rational numbers has been a highly active research topic since the first milestones: Hilbert’s Irreducibility Theorem, Noether’s program, Riemann’s Existence Theorem. It gained special interest in the last decades with Grothendieck’s “Esquisse d’un programme”, his “Letter to Faltings” and Fried’s introduction of Hurwitz spaces. It grew on and thrived on a wide range of areas, e.g. formal algebraic geometry, Diophantine geometry, group theory. The recent years have seen the development and integration in algebraic geometry and Galois theory of new advanced techniques from algebraic stacks, -adic representations and homotopy theories. It was the goal of this mini-workshop, to bring together an international panel of young and senior experts to draw bridges towards these fields of research and to incorporate new methods, techniques and structures in the development of geometric Galois theory.

Cite this article

Benjamin Collas, Pierre Dèbes, Michael D. Fried, Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups. Oberwolfach Rep. 15 (2018), no. 2, pp. 1021–1080

DOI 10.4171/OWR/2018/17