Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	谢俊逸教授，北京大学
Inviter:	谢松晏
Title:	Recursive inequalities and dynamical degrees
Language:	Chinese
Time & Venue:	2024.01.17 15:30-17:00 晨兴110
Abstract:	For every dominant rational self-map, we find a family of recursive inequalities of some dynamically meaningful cycles. Applying these recursive inequalities, we proved serval results in algebraic dynamics. We get an algorithm to compute the dynamical degrees to arbitrary precision. We proved that for a family of dominant rational self-maps, the dynamical degrees are lower semi-continuous with respect to the Zariski topology, this proves a conjecture of Call and Silverman. We proved that the set of periodic points of a cohomologically hyperbolic rational self-map is Zariski dense.