NON-ARCHIMEDEAN TECHNIQUES AND DYNAMICAL DEGENERATIONS

2024-08-16 14:14:14

时间:2024年8月21-23日10:00-11:30

地点:西湖大学云谷校区E4-233


主讲人:龚宸,巴黎综合理工大学

报告题目:NON-ARCHIMEDEAN TECHNIQUES AND DYNAMICAL DEGENERATIONS

报告摘要: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.


Baidu
map