[過去ﾛｸﾞ] IUTを読むための用語集資料集スレ (1002ﾚｽ)

IUTを読むための用語集資料集スレ http://rio2016.5ch.net/test/read.cgi/math/1592654877/

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552: 現代数学の系譜 雑談 ◆yH25M02vWFhP [] 2020/10/20(火) 08:05:00.47 ID:V6fYxSC9 https://rio2016.5ch.net/test/read.cgi/math/1600350445/531-532 IUT と ABC予想 (応援スレ) 49 下記、Fig. 1 PDF中に図があるけど、IUT読む人は頭に入れておくのが良いと思う（＾＾ http://www.kurims.kyoto-u.ac.jp/~bcollas/IUT/documents/RIMS-Lille%20-%20Promenade%20in%20Inter-Universal%20Teichm%C3%BCller%20Theory.pdf PROMENADE IN INTER-UNIVERSAL TEICHMULLER THEORY - 復元 Online Seminar - Algebraic & Arithmetic Geometry Laboratoire Paul Painleve - Universite de Lille, France P3 Modus Operandi & Leitfaden. As a new geometry, the essence of Mochizuki’s IUT is to introduce a new semiotic system - formalism, terminology, and their interactions - that can be unsettling at first. This programme proposes a 3 layers approach with precise references, examples, and analogies. Because IUT discovery also benefits from a non-linear and spiralling approach, we provide further indications for an independent wandering: Mochizuki recommends to start with the introductory [Alien] - young arithmetic-geometers can also consult [Fes15] for a shorter overview. We also recommend to begin with §Intro - §3.6-7 ibid. for a direct encounter with IUT’s semiotic, then to follow one’s own topics of interest according to Fig. 1, which also indicates some topic-wise references as entry-points - [EtTh], [GenEll], etc. Within the “canon” [IUTChI]-[IUTChIV], our recommendation is to start with [IUTChIII] §Introduction. Intuition of the reader can further rely on the strongly consistent terminology of IUT - e.g. Frobenioid, mono-anabelian transport, arithmetic analytic. Fig. 1. IUT, Topics & References as potential entry points. ● Diophantine: Heights, Faltings’ isogenies & Abc. ● Anabelian: Mono-anabelian reconstruction & Tripodal transports. ● Geometry: Multiradiality, Coricity & Arithmetic Analyticity vs Holomorphicity. ● Categorical: Frobenioids, Anabelioid, Prime Strips & Hodge Theaters. ● Meta-Abelian 略 つづく http://rio2016.5ch.net/test/read.cgi/math/1592654877/552

553: 現代数学の系譜 雑談 ◆yH25M02vWFhP [] 2020/10/20(火) 08:05:38.83 ID:V6fYxSC9 >>552 つづき ※ We have also found the synthetic and selfcontent [Yam17] to be particularly helpful as a bridge between [Alien] and the “canon”. ※ Hodge-Arakelov and p-adic Teichmuller theories stand as important models for IUT, which also relies on key categorical constructions - e.g. Frobenioids and anabelioids. These aspects are not included in this programme - we refer to [Alien] and the canon for references - they can be the object of additional talks by specialists. 以上 http://rio2016.5ch.net/test/read.cgi/math/1592654877/553

557: １３２人目の素数さん [sage] 2020/10/20(火) 16:18:17.10 ID:8nlx/Wj4 >>552 ＞頭に入れておくのが良い ガロア理論どころかガウスの「整数論」すら 読んでも一字一句理解できない素人のアタマには どう押し込んでも入らないよ http://rio2016.5ch.net/test/read.cgi/math/1592654877/557

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