[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 44 (1002ﾚｽ)
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92(2): 現代数学の系譜 雑談 ◆e.a0E5TtKE 2020/04/16(木)23:57 ID:2hTnrFrU(1/3) AAS
望月IUT vs Thurstonの‘怪物定理’
これを思い出した （＾＾

外部ﾘﾝｸ:ja.wikipedia.org
ウィリアム・サーストン
(抜粋)
1982年 - 国際数学者会議よりフィールズ賞を受賞。

外部ﾘﾝｸ:www.jstage.jst.go.jp
省21

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93(2): 現代数学の系譜 雑談 ◆e.a0E5TtKE 2020/04/16(木)23:58 ID:2hTnrFrU(2/3) AAS
>>92
つづき

外部ﾘﾝｸ:en.wikipedia.org
William Thurston
(抜粋)
To complete the picture, Thurston proved a hyperbolization theorem for Haken manifolds. A particularly important corollary is that many knots and links are in fact hyperbolic. Together with his hyperbolic Dehn surgery theorem, this showed that closed hyperbolic 3-manifolds existed in great abundance.

The geometrization theorem has been called Thurston's Monster Theorem, due to the length and difficulty of the proof. Complete proofs were not written up until almost 20 years later. The proof involves a number of deep and original insights which have linked many apparently disparate fields to 3-manifolds.
省14

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94(1): 現代数学の系譜 雑談 ◆e.a0E5TtKE 2020/04/16(木)23:58 ID:2hTnrFrU(3/3) AAS
>>93

つづき

The first major step towards a proof of the Geometrization Conjecture was Thurston’s
‘Monster Theorem’ from the late 1970s, namely the proof of the Geometrization Theorem for Haken manifolds. As we hinted at in the previous section, the proof uses
an induction argument on hierarchies. But along the way Thurston also introduced a
wealth of new concepts and ideas, many of which developed into major fields of study
in their own right. William Thurston was awarded the Fields medal in 1983^8, but it
省8

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