​03-20【Loïc MEREL】五教5107 中法班讨论班系列报告020

发布者:徐月发布时间:2024-03-13浏览次数:18

题目:About the unit 1^1.2^2.3^3.4^4....((N-1)/2)^((N-1)/2) modulo a prime number 

报告人:Loïc MEREL (Institut de Mathematiques de Jussieu-Paris Rive Gauche, Paris, France)

时间:2024年3月20日(周三)16:00-17:00

地点:第五教学楼5107教室

摘要:Let N be a prime number >3. In his great work from 1977, Modular curves and the Eisenstein Ideal, Mazur has defined, from the theory of modular forms, a unit u in Z/N. This unit turned out to be, up to a 6th root of unity,\prod_{k=1}^{(N-1)/2}k^k. In this talk we will describe how the unit is connected to various objects in number theory, several of these connections are due to E. Lecouturier.