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.
