Mochizuki, Shinichi
Topics in Absolute Anabelian Geometry
III: Global Reconsruction Algorithms
大域的復元のアルゴリズムについて

⑴
・Journal of Mathematical Sciences
The University of Tokyo
Vol. 22 (2015), No. 4, Page
939–1156.

https://www.ms.u-tokyo.ac.jp/journal/number/jms2204.html

⑵
・scholze stixレポート

>the “étale-like data”, often denoted
Dor D, is given by the abstract topological group π1(X), considered as a group up to inner automorphism.
Equivalently, as is done in the IUTT
papers, we may think of the abstract
Galois category of finite étale covers of X, without a choice of base point.
At this point, it is useful to recall the
following striking result of Mochizuki.
Theorem 7 ([Anab3, Theorem 1.9,
Corollary 1.10]).

・References
[Anab3] Mochizuki, S., Topics in Absolute Anabelian Geometry III:
Global Reconstruction Algorithms.

https://ncatlab.org/nlab/files/why_abc_is_still_a_conjecture.pdf