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Eigenvalue and heat kernel estimates on the canonical bundle of Kaehler manifolds - 朱萌 (华东师范大学)

CHINA·77779193永利(集团)有限公司-Official website

度量几何暑期学术报告

Title: Eigenvalue and heat kernel estimates on the canonical bundle of Kaehler manifolds

Speaker: 朱萌 (华东师范大学)

Abstract

Let M be an m dimensional closed Kaehler manifold. We will present certain eigenvalue and heat kernel estimates for the Hodge Laplacian acting on smooth sections of the canonical bundle of M, i.e., (m,0)-forms. The main results only rely on the bound of the Ricci curvature, and the volume and diameter of M, instead of the bound of the whole curvature tensor for general differential forms. This is a joint work with Zhiqin Lu and Qi S. Zhang.

北京时间:2021年7月10日(周六)上午9:00—11:00
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