Inter-universal geometry と ABC予想 (応援スレ) 73

Inter-universal geometry と ABC予想 (応援スレ) 73 (723ﾚｽ)
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54: 現代数学の系譜雑談 ◆yH25M02vWFhP [] 07/26(土)19:16:21.09 ID:w9PY0JQs(6/6)
>>53
>発狂してスレチ世間話をコピペ連投

ふっふ、ほっほ
5ｃｈ数学板タイトル一覧（下記）
ほとんどが、世間話と雑談スレだよｗ

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188: 死狂幻調教大師S.A.D.@月と六ベンツ [] 08/01(金)08:08:09.09 ID:1t6/xN+D(18/28)
新しい種の予感がするなら神の会議のコネぐらいはなあ。

346: 現代数学の系譜雑談 ◆yH25M02vWFhP [] 08/04(月)16:25:56.09 ID:rSgE8B7A(10/12)
つづき

In parallel with the abstract trend of the algebraic geometry, which is concerned with general statements about varieties, methods for effective computation with concretely-given varieties have also been developed, which lead to the new area of computational algebraic geometry. One of the founding methods of this area is the theory of Gröbner bases, introduced by Bruno Buchberger in 1965. Another founding method, more specially devoted to real algebraic geometry, is the cylindrical algebraic decomposition, introduced by George E. Collins in 1973.
See also: derived algebraic geometry.

https://en.wikipedia.org/wiki/Arithmetic_geometry
Arithmetic geometry
History
Early-to-mid 20th century: algebraic developments and the Weil conjectures
Grothendieck developed étale cohomology theory to prove two of the Weil conjectures (together with Michael Artin and Jean-Louis Verdier) by 1965.[6][15] The last of the Weil conjectures (an analogue of the Riemann hypothesis) would be finally proven in 1974 by Pierre Deligne.[16]
Mid-to-late 20th century: developments in modularity, p-adic methods, and beyond
Between 1956 and 1957, Yutaka Taniyama and Goro Shimura posed the Taniyama–Shimura conjecture (now known as the modularity theorem) relating elliptic curves to modular forms.[17][18] This connection would ultimately lead to the first proof of Fermat's Last Theorem in number theory through algebraic geometry techniques of modularity lifting developed by Andrew Wiles in 1995.[19]
In the 1960s, Goro Shimura introduced Shimura varieties as generalizations of modular curves.[20] Since the 1979, Shimura varieties have played a crucial role in the Langlands program as a natural realm of examples for testing conjectures.[21]
In papers in 1977 and 1978, Barry Mazur proved the torsion conjecture giving a complete list of the possible torsion subgroups of elliptic curves over the rational numbers. Mazur's first proof of this theorem depended upon a complete analysis of the rational points on certain modular curves.[22][23] In 1996, the proof of the torsion conjecture was extended to all number fields by Loïc Merel.[24]

つづく

397: １３２人目の素数さん [] 08/06(水)23:19:06.09 ID:xgKl2QW7(2/2)
>>395
くやしかったら勉強すれば？

488: 死狂幻調教大師S.A.D.@月と六ベンツ [] 08/11(月)05:42:01.09 ID:icxZue6p(3/5)
。

492(1): 死狂幻調教大師S.A.D.@月と六ベンツ [] 08/11(月)09:40:34.09 ID:icxZue6p(5/5)
広尾三宮の精神科クリニックに繋がれて治療中。早く入院職員も卒業しろ俺は任意、事件だからな過去も。

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