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【学术报告】A Generalization of Habicht's Theorem for Subresultants of Several Univariate Polynomials

发布日期:2024-09-19    点击:

数学科学学院学术报告


A Generalization of Habicht's Theorem for Subresultants of Several Univariate Polynomials


杨静

(广西民族大学)

报告时间: 2024 年 9 22 日(周

报告地点: 沙河主E502 15:00-17:00


Subresultants of two univariate polynomials are one of the most classic and ubiquitous objects in computational algebra and algebraic geometry. In 1948, Habicht discovered and proved interesting relationships among subresultants. Those relationships were found to be useful for both structural understanding and efficient computation.

Often one needs to consider several (possibly more than two) polynomials. It is rather straightforward to generalize the notion of subresultants to several polynomials. However, it is not obvious (in fact, quite challenging) to generalize the Habicht’s result to several polynomials. The main contribution of this paper is to provide such a generalization.


报告人简介:杨静,广西民族大学副教授、硕士生导师。2013年获北京航空航天大学基础数学理学博士学位。目前主要在计算机代数、计算几何和组合设计等研究方向开展研究工作。主持国家自然科学基金项目4项,在《Science China: Mathematics》、《Journal of Symbolic Computation》、《Computer Aided Geometric Design》等国内外重要期刊和学术会议发表论文20余篇,合作出版研究生教材1部,参编会议论文集2部。

邀请人:黄博



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