Complex Analysis, Dynamics and Geometry Seminar
Deformation space of circle packings, kissing reflection group and critically fixed anti-rational maps
Tuesday, March 16, 2021
5:00-6:00 PM
Off Campus Location
In this talk, we will explain how the quasi-conformal deformation spaces of kissing reflection groups can be used to describe the moduli space of circle packings. We will compare them with the hyperbolic components for critically fixed anti-rational maps. We will explain how the analogue of Thurston's compactness theorem for acylindrical hyperbolic 3-manifold holds for critically fixed anti-rational maps. We will further analyze the bumping structures for those hyperbolic components for critically fixed anti-rational maps, proving an analogue of an unpublished result by Hatcher and Thurston for the moduli space of circle packings. Speaker(s): Yusheng Luo (U(M))
Building: | Off Campus Location |
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Location: | Virtual |
Event Type: | Workshop / Seminar |
Tags: | Mathematics |
Source: | Happening @ Michigan from Department of Mathematics, Complex Analysis, Dynamics and Geometry Seminar - Department of Mathematics |