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科学研究
报告题目:

Deformation space of circle patterns

报告人:

Wai Yeung Lam 教授(北京雁栖湖应用数学研究院)

报告时间:

报告地点:

腾讯会议 ID:785 118 437

报告摘要:

William Thurston proposed regarding the map induced from two circle packings with the same tangency pattern as a discrete holomorphic function. A discrete analogue of the Riemann mapping is deduced from Koebe-Andreev-Thurston theorem. One question is how to extend this theory to Riemann surfaces and relate classical conformal structures to discrete conformal structures. Since circles are preserved under complex projective transformations, we consider circle packings on surfaces with complex projective structures. Kojima, Mizushima and Tan conjectured that for a given combinatorics the deformation space of circle packings is diffeomorphic to the Teichmueller space. In this talk, we explain how graph Laplacian is used and its connection to the Weil-Petersson geometry.

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