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Inter-universal geometry と ABC予想 (応援スレ) 52

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>>53
> >>52
> 追加下記ご参考
> 2018年からの流れですね
> （参考）
> http://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.

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