学术报告 - 代数方向
Existence of Symmetric Differentials on Hyperbolic Space forms
Kwok-Kin Wong(Korea Institute For Advanced Study, Korea)
11月20日 (周二)下午 3 : 00 - 4 : 00 闵行数学楼401报告厅
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.
主持人:吴瑞聪