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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
Organizer
Speaker
Time
Friday, December 6, 2024 10:30 AM - 11:30 AM
Venue
Online
Abstract
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.
Speaker Intro
Hu chuangqiang joined Bimsa in the autumn of 2021. The main research fields include: coding theory, function field and number theory, singularity theory. In recent years, he has made a series of academic achievements in the research of quantum codes, algebraic geometric codes, Drinfeld modules, elliptic singular points, Yau Lie algebras and other studies. He has published 13 papers in famous academic journals such as IEEE Trans. on IT., Final Fields and their Applications, Designs, Codes and Cryptography. He has been invited to attend domestic and international academic conferences for many times and made conference reports.