Inter-universal geometry と ABC予想 50

[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 50 (1002ﾚｽ)
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731: 現代数学の系譜 雑談 ◆e.a0E5TtKE  [sage] 2020/04/19(日) 22:15:33.08 ID:ijGx7lvx

>>728
>グロタンディーク宇宙もひとつだけにできるかも知らないけど、不自然な発想になるから、色々と取り替えるんじゃないのか

「グロタンディーク宇宙を複数作って、取り替える」は、ないな、多分
　>>690 より、下記の記述ですな（＾＾；
http://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20I.pdf
INTER-UNIVERSAL TEICHMULLER THEORY I: CONSTRUCTION OF HODGE THEATERS Shinichi Mochizuki April 2020
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Introduction
P21
§I3. Basepoints and Inter-universality

It is this fundamental aspect of the theory of the present series of papers - i.e.,
of relating the distinct set-theoretic universes associated to the distinct fiber functors/basepoints on either side of such a non-ring/scheme-theoretic filter
- that we refer to as inter-universal.
This inter-universal aspect of the theory manifestly leads to the issue of considering the extent to which one can understand various ring/scheme structures by considering only the underlying abstract topological group of some´etale fundamental group arising from such a ring/scheme structure
- i.e., in other words, of considering the absolute anabelian geometry
[cf. the Introductions to [AbsTopI], [AbsTopII], [AbsTopIII]] of the rings/schemes under consideration.

http://rio2016.5ch.net/test/read.cgi/math/1586907848/731

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