报告题目:短期课程: Applications of Elimination Theory to Central Configuration Problems
报 告 人:Thiago Dias Oliveira Silva 教授(Federal University of Pernambuco, 巴西佩尔南布科联邦大学)
报告时间:2025年9月28日(星期日)10:30—12:00; 2025年9月30日(星期二)10:30—12:00.
报告地点:数学科学学院114(小报告厅)
校内联系人:赵磊 教授 联系方式:84708351-8625
报告摘要:第一讲: This class introduces the core ideas of Elimination Theory with a geometric lens: polynomial ideals, varieties, and how eliminating variables corresponds to projecting onto coordinate subspaces. Gröbner bases serve as the computational tool to extract the equations that survive projection. We emphasize intuition through fibers, images, and dimensions, showing how algebra translates into geometry.
第二讲: In this class, we use elimination techniques to address classical questions about central configurations, focusing on the inverse problem and on finiteness problem.