函数域论
Algebraic Function thoery involves the study of the field extensions of transcendental degree one. In algebraic geometry, a function field correspondences to the function field of some algebraic curve.
In number theory, a function field will play a role similar to that of a
finite extension of the field of rational numbers.
Also, the theory of function field serve as an infinite source of inspiration for a similar study of Riemann surface, as a main geometry topics in complex analysis. Several concepts of a totally analytic nature such as those of differentials, distances, and meromorphic functions may be studied from an algebraic viewpoint and are consequently likely to be translated into arbitrary fields, including fields of positive characteristic.
In number theory, a function field will play a role similar to that of a
finite extension of the field of rational numbers.
Also, the theory of function field serve as an infinite source of inspiration for a similar study of Riemann surface, as a main geometry topics in complex analysis. Several concepts of a totally analytic nature such as those of differentials, distances, and meromorphic functions may be studied from an algebraic viewpoint and are consequently likely to be translated into arbitrary fields, including fields of positive characteristic.
讲师
日期
2023年03月06日 至 05月30日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周一,周二 | 09:50 - 11:25 | A3-2-201 | ZOOM 06 | 537 192 5549 | BIMSA |
修课要求
抽象代数，数论
听众
Undergraduate
视频公开
公开
笔记公开
公开
语言
中文
讲师介绍
胡创强，2021年秋季入职BIMSA。主要研究领域包括：编码理论，函数域及数论，奇点理论。近年来在量子码，代数几何码，Drinfeld模，椭圆奇点，丘-李代数等课题研究中取得了一系列学术成就。在《IEEE Trans. on IT.》《Finite Fields and Their Applications》《Designs, Codes and Cryptography》等著名学术期刊上发表论文13篇。先后多次应邀出席国内外学术会议并作大会报告。