>>471
>それくらい普遍性のある理論かどうかが問題なんだから
>あと、応用の広さを強調する割に部分的な小さい成果を発表してないのも異常だし

女子
https://arxiv.org/abs/2003.01890
”On Mochizuki’s idea of Anabelomorphy and its applications Kirti Joshi March 5, 2020”
Abstract: Shinichi Mochizuki has introduced many fundamental ideas in his work, amongst one of them is the foundational notion, which I have dubbed anabelomorphy (pronounced as anabel-o-morphy).
I coined the term anabelomorphy as a concise way of expressing "Mochizuki's anabelian way of changing ground field, rings etc."
The notion of anabelomorphy is firmly grounded in a well-known theorem of Mochizuki which asserts that a p-adic field is determined by its absolute Galois group equipped with its (upper numbering) ramification filtration.
In this paper I provide a number of results which illustrate the usefulness of Mochizuki's idea.

https://arxiv.org/pdf/2003.01890.pdf
26 Perfectoid algebraic geometry as an example of anabelomorphy 61
Now let me record the following observation which I made in the course of writing [Jos19a] and [Jos19b]. A detailed treatment of assertions of this section will be provided in [DJ] where we establish many results in parallel with classical anabelian geometry.

27 The proof of the Fontaine-Colmez Theorem as an example of anabelomorphy on the Hodge side 62
Let me provide an important example of Anabelomorphy which has played a crucial role in the theory of Galois representations.
The Colmez-Fontaine Theorem which was conjectured by Jean-Marc Fontaine which asserts that “every weakly admissible filtered (φ, N) module is an admissible filtered (φ, N) module” and proved by Fontaine and Colmez in [CF00].

28 Anabelomorphy for p-adic differential equations 64
This section is independent of the rest of the paper. A reference for this material contained in this section is [And02].