理学院数理讲坛(2018年第35讲)
报告题目:Floating Bodies and Floating Functions
报 告 人: 李奔 博士
单 位: 以色列特拉维夫(Tel Aviv)大学
报告时间:2018年9月13日(星期四10:00-11:00)
报告地点:阳明学院303
报告摘要: In this talk I will firstly introduce floating body for convex bodies. It is a classical notion in affine convex geometry and closely related to another important notion affine surface area. Secondly, I will discuss the recent result on extending this notion to the setting of functions. We introduce floating functions and establish the asymptotic behavior of the integral difference of a log concave function and its floating function. This gives rise to a new affine invariant which bears striking similarities to the Euclidean affine surface area. The latter result is based on the joint work with Carsten Schuett and Elisabeth Werner.
报告人简介: 李奔博士,生于浙江台州,2009年本科毕业于西北大学数学系,2012年在瑞典乌普萨拉大学取得硕士学位,2017年在美国凯斯西储大学获得博士学位,现在以色列特拉维夫大学从事博士后研究。