[過去ログ] Inter-universal geometry と ABC予想 (応援スレ) 49 (1002レス)
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551
(2): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/18(日)12:54 ID:ZLSkSSTT(16/27) AAS
>>542
>そうか、この[Alien]っていうのが、重要な論文なんだね〜(^^

"universe"の説明が詳しいね
以下抜粋する

(参考)
外部リンク[pdf]:www.kurims.kyoto-u.ac.jp
[7] The Mathematics of Mutually Alien Copies: from Gaussian Integrals to Inter-universal Teichmuller Theory. PDF
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552
(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/18(日)12:54 ID:ZLSkSSTT(17/27) AAS
>>551
つづき

By contrast, the links that occur in inter-universal Teichm¨uller
theory are constructed by partially dismantling the ring structures of the rings in their
domains and codomains [cf. the discussion of §2.7, (vii)], hence necessarily result in
much more complicated relationships between the universes ? i.e., between the labelling apparatuses for sets ? that are adopted in the Galois categories that occur in the domains and codomains of these links, i.e., relationships that do not respect the various labelling apparatuses for sets that arise
from correspondences between the Galois groups that appear and the respective
省18
557: 現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/18(日)13:03 ID:ZLSkSSTT(22/27) AAS
>>551 補足

"universe"の説明:

外部リンク[pdf]:www.kurims.kyoto-u.ac.jp
[7] The Mathematics of Mutually Alien Copies: from Gaussian Integrals to Inter-universal Teichmuller Theory. PDF
  NEW !! (2020-04-04)
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