报告题目 (Title)：Riemannian metrics with prescribed volume and finite parts of Dirichlet spectrum
报告人 (Speaker)：王作勤教授（中国科学技术大学）
报告时间 (Time)：2023年3月23日(周四) 15:00-16:00
报告地点 (Place)：校本部D216
邀请人(Inviter)：席东盟、李晋、张德凯
主办部门：理学院数学系
报告摘要：In 1980s Colin de Verdiere proved that on any closed manifold of dimension at least 3, one can construct a smooth metric with arbitrarily prescribed finite parts of eigenvalues. Later on Lohkamp showed
that one can further prescribe the volume. In this talk, I will explain how to extend their results to Dirichlet eigenvalues on manifolds with boundary. This is based on an ongoing joint work with He Xiang.
