关于举行吴云辉教授（清华大学）学术报告会的通知

报告题目：Degenerating hyperbolic surfaces and spectral gaps for large genus

报   告 人：吴云辉教授（清华大学）

报告时间：2022年11月29日（星期二）上午9:30-11:00         

报告地点：zoom 98951767939，密码：GTG

邀  请人：杜晓明副教授

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数学学院

2022年11 月24日

报告摘要： We study the differences of two consecutive eigenvalues $\lambda_{i}-\lambda_{i-1}$ up to $i=2g-2$ for the Laplacian on hyperbolic surfaces of genus $g$, and show that the supremum of such spectral gaps over the moduli space has infimum limit at least $\frac{1}{4}$ as genus goes to infinity. A min-max principle for eigenvalues on degenerating hyperbolic surfaces is also established. This is a joint work with Haohao Zhang and Xuwen Zhu.