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

[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 52 (1002ﾚｽ)
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45: １３２人目の素数さん [] 2021/02/20(土) 19:28:54.37 ID:Z8PgJDTw

>>44 追加

下記より
” and Hoshi-Mochizuki-Minamide,
the construction of arithmetic operads ”
とありますな、ワッハッハｗｗｗ

（参考）
https://www.mfo.de/occasion/2110a/www_view
The Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)
Homotopic and Geometric Galois Theory
7 Mar - 13 Mar 2021
ID: 2110a
Organizers
Benjamin Collas, Bayreuth
Pierre Dèbes, Villeneuve d'Ascq
Hiroaki Nakamura, Osaka
Jakob Stix, Frankfurt
Public Abstract https://www.mfo.de/document/2110a/Public-Abstract-2010a.pdf

Abstract
A fundamental idea in studying the absolute Galois group of a field is to make it act on geometric
objects such as Galois covers, étale cohomology groups and fundamental groups. The following
research topics emphasize this seminal idea: (a) Galois covers, G-torsors and their parametrizing
families, (b) motivic Galois representations, (c) anabelian towers of fundamental groups.
Striking advances have recently shed new light on the whole topic:

(c) in Anabelian Geometry: the successful introduction of methods from étale homotopy theory
(Schmidt-Stix) and from motivic A1-homotopy theory for moduli stacks of curves (Collas), the import
of operads (Fresse-Horel) which echo the Galois techniques of Pop and Hoshi-Mochizuki-Minamide,
the construction of arithmetic operads for Hurwitz moduli spaces (Westerland-Wickelgren).

http://rio2016.5ch.net/test/read.cgi/math/1613784152/45

52: １３２人目の素数さん [] 2021/02/20(土) 21:07:22.66 ID:Z8PgJDTw

>>45
>The following research topics emphasize this seminal idea: (a) Galois covers, G-torsors and their parametrizing families, (b) motivic Galois representations, (c) anabelian towers of fundamental groups.
>Striking advances have recently shed new light on the whole topic:
>(c) in Anabelian Geometry: the successful introduction of methods from étale homotopy theory
>(Schmidt-Stix) and from motivic A1-homotopy theory for moduli stacks of curves (Collas), the import
>of operads (Fresse-Horel) which echo the Galois techniques of Pop and ,
>the construction of arithmetic operads for Hurwitz moduli spaces (Westerland-Wickelgren).

”Striking advances have recently shed new light on the whole topic:”
ですね

”Hoshi-Mochizuki-Minamide”は、該当しそうなのは下記二つ
（>>5より）
http://www.kurims.kyoto-u.ac.jp/~yuichiro/papers.html
星裕一郎の論文
(抜粋)
１）Explicit estimates in inter-universal Teichmüller theory (with Shinichi Mochizuki, Ivan Fesenko, Arata Minamide, and Wojciech Porowski) RIMS Preprint 1933 (November 2020): (PDF).
　http://www.kurims.kyoto-u.ac.jp/~yuichiro/rims1933.pdf
２）Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups (with Arata Minamide and Shinichi Mochizuki) RIMS Preprint 1870 (March 2017): 修正版: (PDF).
　http://www.kurims.kyoto-u.ac.jp/~yuichiro/rims1870revised.pdf
（引用終り）

ここで、”Striking advances have recently shed new light on the whole topic:”に該当するのは、”November 2020”の１）”Explicit estimates in inter-universal Teichmüller theory”ですね
”March 2017”は、ちょっと古いですね
たぶんね

http://rio2016.5ch.net/test/read.cgi/math/1613784152/52

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