Title: Topological entropy for non-archimedean dynamics
Speaker: Junyi Xie（Peking University）
Time: Thursday, December 8 2022. 14:00-15:15
Location:Zoom meeting, Meeting ID:260 305 862, Password:1124
Abstract: 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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