11-27【陈学长】新楼308 偏微分方程系列报告

发布者:石艳慈发布时间:2025-11-20浏览次数:10

报告人: 陈学长 (南京大学)

题目: Strong Green function rigidity conjecture

时间:11月27日(周四)下午3:00-4:00

地点:数学系新楼308

摘要:  We raised a conjecture that for an embedded hypersurface in a Euclidean space, the explicit formula of Green function for GJMS operator coincides with that of GJMS operator with respect to the round metric, then the hypersurface is a round sphere.

We give a positive answer to the above conjecture for the conformal Laplacian, and the Paneitz operator in almost all cases. This is based on joint work with Yalong Shi, and a project in progress with Jiaxue Gan and Yalong Shi.