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About 180 years ago, Galois realized that the solvability of an algebraic equation by radicals is determined by the group of permutations associated with the roots of the equation. He concisely described his ideas in his famous First Memoir. Modern treatment of Galois’ ideas appears to be more abstract than the original, especially on the concept of the group of an equation. In this talk, I will try to illustrate Galois’ treatment in that memoir.
数学探索讲座简介：
积极的探索学习和交流是青年学子成长的一个有效途径。研究生们在学习和研究中常遇到有趣的理论和结果，思索中会有自己的心得与体会。如果学子们能互相交流心得与体会，应是很有益的。数学探索讲座为研究生提供一个交流学习和探索心得体会的平台，类似于哈佛等大学的Trivial Notion Seminar。讲座内容主要是学生们在学习和研究中遇到的自己觉得有趣的数学理论、结果。已有经验表明，这类讲座对增进学生间的相互了解，增进学生的研究能力及表达能力都会有很大的帮助。欢迎同学们积极地参与到你们的讲座中来，和大家分享自己数学探索中的心得、收获和乐趣！ | 
