Inter-universal geometry と ABC予想 (応援スレ) 49

Inter-universal geom ..

542:現代数学の系譜雑談
20/10/18 11:50:53.02 ZLSkSSTT.net
>>541
>※ We have also found the synthetic and selfcontent [Yam17] to be particularly helpful as a bridge between [Alien] and the “canon”.
そうか、この[Alien]っていうのが、重要な論文なんだね～（＾＾
P4
[Alien]：
[Alien] S. Mochizuki, “The mathematics of mutually alien copies: From Gaussian integrals to Inter-universal
Teichmuller theory,” RIMS Preprint no. 1854, 169p. Jul. 2016, Eprint available on-line.
URLﾘﾝｸ(www.kurims.kyoto-u.ac.jp)
望月論文
URLﾘﾝｸ(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)
Abstract
Inter-universal Teichm¨uller theory may be described as a construction of certain
canonical deformations of the ring structure of a number field
equipped with certain auxiliary data, which includes an elliptic curve over the number field
and a prime number ? 5. In the present paper, we survey this theory by focusing on the
rich analogies between this theory and the classical computation of the Gaussian integral.
The main common features that underlie these analogies may be summarized as follows:
・ the introduction of two mutually alien copies of the object of interest;
・ the computation of the effect -i.e., on the two mutually alien copies of the object of interest -of two-dimensional changes of coordinates by considering the effect on infinitesimals;
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