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扭转类的互易律

Reciprocity laws for torsion classes
课程网址: https://videolectures.net/8ecm2021_caraiani_reciprocity_laws/  
主讲教师: Ana Cariani
开课单位: 8ECM会议
开课时间: 2021-07-06
课程语种: 英语
中文简介:
Langlands程序是一个庞大的猜想网络,连接了纯数学的许多领域,如数论、表示论和调和分析。其核心是互易性,即伽罗瓦表示与模或自同构形式之间的推测关系。互易性的一个著名例子是有理数上椭圆曲线的模性:这是Wiles证明Fermat最后定理的关键。我将概述Langlands程序的一些最新进展,重点是虚二次域上的新互易律。
课程简介: The Langlands program is a vast network of conjectures that connect many areas of pure mathematics, such as number theory, representation theory, and harmonic analysis. At its heart lies reciprocity, the conjectural relationship between Galois representations and modular, or automorphic forms. A famous instance of reciprocity is the modularity of elliptic curves over the rational numbers: this was the key to Wiles’s proof of Fermat’s last theorem. I will give an overview of some recent progress in the Langlands program, with a focus on new reciprocity laws over imaginary quadratic fields.
关 键 词: Langlands程序; 猜想网络; 调和分析
课程来源: 视频讲座网
数据采集: 2024-05-23:liyq
最后编审: 2024-05-23:liyq
阅读次数: 2