报告题目 (Title)：Comparison of the upper bounds for the extreme points of the polytopes of line-stochastic tensors.（线随机张量多胞体极点的上界比较）

报告人 (Speaker)： 张福振 教授（美国佛罗里达诺瓦东南大学）

报告时间 (Time)：2023年7月14日(周五) 8:30-11:30

报告地点 (Place)：校本部F309

邀请人(Inviter)：王卿文 教授

主办部门：理学院数学系

报告摘要：The classical Birkhoff polytope theorem states that the polytope of n-by-n doubly stochastic matrices is generated by the n-by-n permutation matrices. We extend this notion to multi-dimensional arrays (aka hypermatrices or tensors). Studying the polytopes of line- and plane- stochastic tensors, we present some upper bounds for the number of the vertices of the polytopes via various approaches and show comparison of these bounds.