>>52 追加下記ご参考 2018年からの流れですね （参考） www.kurims.kyoto-u.ac.jp/~bcollas/documents/MFO-owr1816a_report_Introduction.pdf Mathematisches Forschungsinstitut Oberwolfach Report No. 17/2018 DOI: 10.4171/OWR/2018/17 Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups Organised by Benjamin Collas, Bayreuth Pierre Dèbes, Villeneuve d’Ascq Michael D. Fried, Billings 15 April – 21 April 2018
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, p-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
P5 3. Galois Anabelian and Homotopical Geometry
Schmidt and Stix presented their joint work: they showed how to use étale homotopic methods and Mochizuki’s work to deduce the existence of anabelian Zariski-neighbourhoods in smooth variety of any dimension. Schmidt first explained the necessary requirements and difficulties in Artin-Mazur-Friedlander pointed-unpointed étale homotopy theory, then Stix presented the proof based on Tamagawa’s idea of Jacobian approximation of rational points via the existence of a certain retract.
