BIMSA > Seminar on Algebraic, Complex Geometry and Singularities Anderson Generating Function of Rank One Drinfeld Module over Rational Function Fields
Anderson Generating Function of Rank One Drinfeld Module over Rational Function Fields
组织者
丘成栋
演讲者
胡创强
时间
2024年12月06日 10:30 至 11:30
地点
Online
摘要
The main goal of this paper is to obtain explicit formulas for rank - one Drinfeld modules over a specific integral domain, denoted as A, with a rational function field. This domain corresponds to the projective line associated with an infinite place of degree N. We construct the Anderson generating functions of the Drinfeld modules and calculate the Carlitz period of the associated exponential function.
演讲者介绍
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。