报告题目 (Title)：On the Lp-Minkowski problem with super-critical exponents
报告人 (Speaker)：李奇睿 教授（浙江大学）
报告时间 (Time)：2022年5月6日(周五) 10:00-11:00
报告地点 (Place)：腾讯会议（716-8675-1741）
邀请人(Inviter)：席东盟、李晋、张德凯
报告摘要：The Lp-Minkowski problem deals with the existence of closed convex hypersurface with prescribed p-area measure. It was known that the problem admits a solution in sub-critical case p>-n-1 and does not have a solution in general in the critical case p=-n-1. But it remains unknown in the super-critical case p<-n-1. In this talk, we introduce new ideas to solve the problem for all super-critical exponents. A crucial ingredient in the proof is a topological method based on the calculation of the homology of a topological space of ellipsoids. The talk is based on recent joint work with Qiang Guang and Xu-Jia Wang.