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

发布时间:2020-11-20 17:08    浏览次数:    来源:

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


报告人:王节艳   助理教授   博彩平台


时间:2020年11月23日上午10:30~11:30


地点:博彩平台 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.

 


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