ガロア第一論文と乗数イデアル他関連資料スレ3

[過去ﾛｸﾞ] ガロア第一論文と乗数イデアル他関連資料スレ3 (1002ﾚｽ)
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354: １３２人目の素数さん [] 2023/04/25(火) 21:28:22.25 ID:T/Ps2Q8E

>>352
>宇宙の森羅万象は
>数学的視点からの定式化により
>純粋化される。
>そういった定式化以降の議論が
>数学と呼ばれる。

完全同意です
そして、物理や化学や工学からのフィードバックがまた数学を進歩させる
そういう循環もある（例 下記 Edward Witten）
だから、数学をそういう関連隣接分野から切り離さない方が良いのです

https://ncatlab.org/nlab/show/Edward+Witten
Edward Witten

Edward Witten is a theoretical physicist at the Institute for Advanced Study.

website

wikipedia entry

interview by Hirosi Ooguri, Notices Amer. Math. Soc, May 2015 p491 (pdf)

Adventures in Physics and Math, Kyoto Prize lecture 2014 (pdf, pdf)

Witten’s work originates in theoretical quantum field theory and stands out as making numerous and deep connections between that and mathematical geometry and cohomology. In the course of the 1980s Witten became the central and leading figure in string theory.

Insight gained from the study of quantum field theories and specifically those relevant in string theory led Witten to mathematical results deep enough to gain him a Fields medal, see below. Indeed, a whole list of sub-fields in mathematics originate in aspects of Witten’s work in QFT/string theory and carry his name, such as Chern-Simons theory which many people call “Chern-Simons-Witten theory”, Wess-Zumino-Witten theory, the Witten genus, Gromov-Witten theory, Seiberg-Witten theory, Rozansky-Witten invariant, the Witten conjecture. Other parts are still waiting to be absorbed into the mathematical literature such as Horava-Witten theory, Diaconescu-Moore-Witten anomaly etc..

https://ncatlab.org/nlab/show/Witten+conjecture
Witten conjecture
Contents
1. Idea
2. References

http://rio2016.5ch.net/test/read.cgi/math/1680684665/354

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