学术讨论会：诺特定理的百年
Colloquium: A Century of Noether's Theorem
摘要：
1918年夏天，埃米·诺特发表了现在以她的名字命名的定理，在对称性和守恒定律之间建立了深刻的双向联系。这种认识的影响在物理学中是普遍的;它是我们所有关于基本相互作用的理论的基础，并赋予守恒定律以意义，使它们超越有用的经验规则。诺特的论文、演讲以及与学生和同事的个人互动推动了抽象代数的发展，使她成为20世纪数学家的万神殿。这篇文章追溯了她从埃尔兰根到哥廷根，到宾夕法尼亚州布林莫尔学院短暂但快乐的流亡之路，说明了“诺特定理”对我们今天思考方式的重要性。本文借鉴了2018年8月15日在费米实验室举行的座谈会。
英文摘要：
In the summer of 1918, Emmy Noether published the theorem that now bears her name, establishing a profound two-way connection between symmetries and conservation laws. The influence of this insight is pervasive in physics; it underlies all of our theories of the fundamental interactions and gives meaning to conservation laws that elevates them beyond useful empirical rules. Noether's papers, lectures, and personal interactions with students and colleagues drove the development of abstract algebra, establishing her in the pantheon of twentieth-century mathematicians. This essay traces her path from Erlangen through Göttingen to a brief but happy exile at Bryn Mawr College in Pennsylvania, illustrating the importance of "Noether's Theorem" for the way we think today. The text draws on a colloquium presented at Fermilab on 15 August 2018.
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