科学研究
学术报告
Riemannian Metrics with Prescribed Finite Parts of Spectra
邀请人:王常亮
发布时间:2023-05-29浏览次数:

题目:Riemannian Metrics with Prescribed Finite Parts of Spectra

报告人:王作勤 教授 (中国科学技术大学)

时间:2023年5月30日 16:30-17:30

地点:致远楼101室

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 survey related known results and 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.

欢迎各位参加!