Видеотека: Jinsong Liu, Deformation of circle patterns and its applications

ВИДЕОТЕКА


Третья Российско-Китайская научная конференция по комплексному анализу, алгебре, алгебраической геометрии и математической физике 14 мая 2016 г. 15:00, г. Москва, МИАН, ул. Губкина, д. 8

Deformation of circle patterns and its applications Jinsong Liu Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Аннотация: 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. Язык доклада: английский