天元讲堂(6.4)L.-G.Maxim
报告题目:Euclidean distance degree and the multiview conjecture
报告人:Prof. Laurentiu-George Maxim (University of Wisconsin, Madison)
时间:2019年6月4日(星期二)14:45—15:45
地点:苏州大学本部精正楼(数学楼)307
摘要:The Euclidean distance degree of an algebraic variety is a well-studied topic in applied algebra and geometry. It has direct applications in geometric modeling, computer vision, and statistics. I will first describe a new topological interpretation of the Euclidean distance degree of an affine variety in terms of weighted Euler characteristics. As a concrete application, I will present a solution to the open problem in computer vision of determining the Euclidean distance degree of the affine multiview variety. Secondly, I will present a solution to a conjecture of Aluffi-Harris concerning the Euclidean distance degree of projective varieties. Projective varieties appear naturally in low rank matrix approximation, formation shape control, and all across algebraic statistics. (Joint work with J. Rodriguez and B. Wang.)
报告人主页 //www.math.wisc.edu/~maxim/
欢迎参加!