Chirality of Hyperbolic 3-manifolds
发布时间：2025年10月16日
浏览次数：96
发布者: He Liu
主讲人： 尹航（数学中心）
活动时间： 从 2025-10-17 14:00 到 15:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
We study chirality of commensurable classes of hyperbolic 3-manifolds of finite volume (abbreviated as commensurable classes in the following) and obtain following three results.
First, we provide necessary conditions for determining when a commensurable class contains an achiral manifold. Second, we find a chiral manifold in each commensurable class. Third, in each commensurable class that contains an achiral manifold, we find a non-orientable manifold.
The basic tool is minimal model theory with Galois action and strong approximation theorem. They are applied to construct chiral and achiral manifolds.
This is joint work with Ye Tian, Shicheng Wang and Zhongzi Wang.
