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Explore rigidity properties and quasisymmetric uniformization techniques for combinatorial Thurston maps in this 45-minute conference talk delivered by Zhiqiang Li from Peking University at the Fields Institute. Delve into advanced topics in dynamical systems theory as part of the Fields-CNAM Nonlinear Days 2025 conference focusing on structures and processes that are dynamical, geometric, and random. Examine the mathematical foundations underlying combinatorial Thurston maps and their uniformization properties, gaining insights into how these concepts apply to complex dynamical systems. Learn about the rigidity phenomena that characterize these mathematical objects and understand the role of quasisymmetric mappings in their analysis. This presentation forms part of a broader academic program exploring nonlinear mathematical structures and their applications across various fields of mathematics.
