Time: 10:00-11:30, August 21-23, 2024
Venue: E4-233, Yungu Campus
Speaker: Chen GONG, École Polytechnique
Title: NON-ARCHIMEDEAN TECHNIQUES AND DYNAMICAL DEGENERATIONS
Abstract: We develop non-Archimedean techniques to analyze the de- generation of a sequence of rational maps of the complex projective line. We provide an alternative to Luo’s method which was based on ultra- limits of the hyperbolic 3-space. We build hybrid spaces using Berkovich theory which enable us to prove the convergence of equilibrium mea- sures, and to determine the asymptotics of Lyapunov exponents.
