中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
微分几何研讨班
Speaker:周鑫 教授（康奈尔大学）
Inviter: 付保华
Language: English
Title:Volume Spectrum, minimal and constant mean curvature surfaces
Time & Venue: 2026年5月12日（星期二）14：00-15：00 & 南楼N913
Abstract: The volume spectrum is an analogue of the Laplace spectrum, defined through the area functional together with homological or cohomological relations in the space of hypercycles. In this talk, I will introduce several versions of the volume spectrum and highlight its applications in geometric variational theory. Specifically, I will discuss how the spectrum can be used to address existence problems for minimal surfaces and constant mean curvature surfaces. Finally, I will present recent progress on extending these ideas to a higher codimensional problem.