题目：Topological entropy for non-archimedean dynamics 

报告人：谢俊逸（北京大学）

时间：2022年12月8日（星期四），14:00-15:15

地点：Zoom会议，会议号：898 2596 2251，密码：2022

摘要：The talk is based on a joint work with Charles Favre and Tuyen Trung Truong. We prove that the topological entropy of any dominant rational self-map of a projective variety defined over a complete non-Archimedean field is bounded from above by the maximum of its dynamical degrees, thereby extending a theorem of Gromov and Dinh-Sibony from the complex to the non-Archimedean setting. We proceed by proving that any regular self-map which admits a regular extension to a projective model defined over the valuation ring has necessarily zero entropy. To this end we introduce the -reduction of a Berkovich analytic space, a notion of independent interest.