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20201123 王節艷 A uniformizable Spherical CR structure on a two-cusped hyperbolic 3-manifold

發布時間:2020-11-20 17:08    瀏覽次數:    來源:

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


報告人:王節艷   助理教授   湖南大學數學學院


時間:2020年11月23日上午10:30~11:30


地點:數學學院425會議室


摘要:Let M be a 3-manifold. A uniformizable spherical CR structure on M is a homeomorphism between M and a quotient space ?/Γ, where Γ ? PU(2,1) is a discrete subgroup and ? ? 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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