基础数学系学术报告
--- 微分几何讨论班(2024秋季第2讲)
题目: The slicing problem by Bourgain and the maximal sections of convex bodies
报告人: 鲁新宝 副教授 （同济大学）
时间：2024-9-26 15：15-16：00
地点：沙河主E404
摘要: In this talk, I will first introduce the famous unsolved slicing problem by Bourgain in details. Then I will address our recent work on the extremal sections of convex bodies. Bounds for the volume of sections of convex bodies which are in the Lp John ellipsoid positions are established. Specifically, when the convex bodies are in the LYZ ellipsoid position, we construct a family of Hanner polytopes, which indeed attain the sharp bounds. This talk is based on the joint work with Jiangyan Tao and Ge Xiong.
报告人简介: 鲁新宝，同济大学助理教授。2022年博士毕业于同济大学，2022年至2024年在上海数学中心从事博士后研究. 主要研究凸体几何，特别是等周型问题与 Minkowski 型问题，已在 Math. Ann., Israel J. Math., Indiana Univ.Math. J., Discrete Comput. Geom. 等国际纯数学的重要期刊上发表数篇论文.
邀请人：张世金
