Existence of Symmetric Differentials on Hyperbolic Space forms
发布人: 曹思圆   发布时间: 2018-11-19   浏览次数: 39

报告人:Kwok-Kin Wong (Korea Institute For Advanced Study, Korea)

时间:11月20日 (周二),下午 3 : 00 - 4 : 00

地点:闵行数学楼401

主持人:吴瑞聪


Abstract:  Let $X=\mathbb{B}^n/\Gamma$ be noncompact finite volume quotient of complex unit ball by a torsion-free lattice. Suppose $\overline{X}$ is the Mumford compactification of $X$. We consider the problem of producing symmetric differentials on $\overline{X}$ vanishing at the infinity $D=\overline{X}-X$. These symmetric differentials may be viewed as a generalization of cusps forms on modular curves. If time permits, we will also mention its connections to other subjects, such as hyperbolicity problems and Hodge theory.