On the $L^p$-Minkowski problem with super-critical exponents.

发布时间：2021-12-22 作者：浏览次数：

Speaker:	李奇睿	DateTime:	2021年12月22日（周三）上午9：30开始
Brief Introduction to Speaker: 李奇睿教授，浙江大学。		Place:	腾讯会议：743 567 652
Abstract:The $L^p$-Minkowski problem deals with the existence of closed convex hypersurface with prescribed $p$-area measure. The problem has been solved in the sub-critical case p>-n-1, but remains widely open in the super-critical case p< -n-1. In this talk, we introduce new ideas to solve the problem for all supercritical 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.