20201123 王节艳 A uniformizable Spherical CR structure on a two-cusped hyperbolic 3-manifold

题目：A uniformizable Spherical CR structure on a two-cusped hyperbolic 3-manifold

报告人：王节艳   助理教授   必赢76net线路唯一官方网站

时间：2020年11月23日上午10:30~11:30

地点：必赢76net线路唯一官方网站425会议室

摘要：Let M be a 3-manifold. A uniformizable spherical CR structure on M is a homeomorphism between M and a quotient space Ω/Γ, where Γ ⊂ PU(2,1) is a discrete subgroup and Ω ⊂ S³ is the discontinuity region of Γ. Here PU(2,1) is the holomorphic isometry group of complex hyperbolic plane, whose ideal boundary is S³. We show that a two-cusped hyperbolic 3-manifold s782 in the SnapPy census admits a uniformizable spherical CR structure. This is a joint work with Yueping Jiang and Baohua Xie.