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【系综合学术报告】2025年第11期 || On prescribing finite spectrum

报告题目On prescribing finite spectrum

报告人 王作勤 教授 (中国科学技术大学)

时间2025515日(周四)上午10:30-11:30

地点 理科楼A112

报告摘要In 1980s Colin de Verdiere proved that on any closed manifold of dimension at least 3, one can construct a Riemannian metric with arbitrarily prescribed finite parts of eigenvalues. Later on Lohkamp showed that one can further prescribe the volume. In this talk, I will review some backgrounds on this problem, and explain how to extend their results to Dirichlet and Robin eigenvalues on manifolds with boundary, and moreorver, how to find such metrics within given conformal class. This talk is based on joint works with He Xiang.

邀请人:徐国义