学术报告

Small Eigenvalues of Closed Riemann Surfaces for Large Genus

阅读次数:677

题目:Small Eigenvalues of Closed Riemann Surfaces for Large Genus
报告人:吴云辉 副教授 (清华大学)
地点:致远楼101室
时间:2019年6月17日 16:30-17:30
摘要: We study the asymptotic behavior of small eigenvalues of Riemann surfaces for large genus. We show that for any integer k>0, as the genus g goes to infinity, the smallest k-th eigenvalue of a Riemann surface in any thick part of moduli space of Riemann surfaces of genus g is uniformly comparable to 1/g^2 in g. This is a joint work with Yuhao Xue.

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