Inter-universal geometry と ABC予想 (応援スレ) 44

Inter-universal geometry と ABC予想 (応援スレ) 44at MATH

Inter-universal geometry と ABC予想 (応援スレ) 44 - 暇つぶし2ch103:ndance. 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. http://www.mathematik.uni-r.de/friedl/papers/dmv_091514.pdf THURSTON’S VISION AND THE VIRTUAL FIBERING THEOREM FOR 3-MANIFOLDS STEFAN FRIEDL (抜粋) Abstract. The vision and results of William Thurston (1946-2012) have shaped the theory of 3-dimensional manifolds for the last four decades. The high point was Perelman’s proof of Thurston’s Geometrization Conjecture which reduced 3- manifold topology for the most part to the study of hyperbolic 3-manifolds. In 1982 Thurston gave a list of 24 questions and challenges on hyperbolic 3-manifolds. The most daring one came to be known as the Virtual Fibering Conjecture. We will give some background for the conjecture and we will explain its precise content. We will then report on the recent proof of the conjecture by Ian Agol and Dani Wise. つづく

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