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The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics
May 14, 2016 15:00–15:40, Moscow, Steklov Mathematical Institute of RAS, Gubkina, 8
 


Deformation of circle patterns and its applications

Jinsong Liu

Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
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Jinsong Liu
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Abstract: Given a circle pattern on the Riemann sphere $\overline{\mathbb C}$, in this talk we prove that its quasiconformal deformation space can be naturally identified with the product of the Teichmüller spaces of its interstices. By using the intersection number technique, together with Teichmüller theory of circle packings, we provides a rigidity result of the Midscribability Theorem. Furthermore, by using these methods, we shall investigate the stability of some inscribable graphs.

Language: English

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