《北京数学杂志》学术会议5月18日邀请报告——Algebraic Dynamics and Recursive Inequalities
报告人：谢俊逸 (北京大学)
时间：2024-05-18 15:10-16:10
地点：镜春园82号甲乙丙楼报告厅
报告摘要：We get three basic results in algebraic dynamics: (1) We give the first algorithm to compute the dynamical degrees to arbitrary precision. (2) We prove that for a family of dominant rational self-maps, the dynamical degrees are lower semi-continuous with respect to the Zariski topology. This implies a conjecture of Call and Silverman. (3) We prove that the set of periodic points of a cohomologically hyperbolic rational self-map is Zariski dense.
In fact, for every dominant rational self-map, we find a family of recursive inequalities of some dynamically meaningful cycles. Our proofs are based on these inequalities.
