Topological entropy for non-archimedean dynamics

发布时间:2022-11-30浏览次数:704

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.



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