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



53 名前:132人目の素数さん [2021/02/20(土) 21:07:22.66 ID:Z8PgJDTw.net]
>>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)
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).
 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).
 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






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