代数几何研讨班：Density of orbits and arithmetic degrees of automorphisms of projective threefolds

中科院数学与系统科学研究院

数学研究所

学术报告

代数几何研讨班

报告人：李思辰（华东理工大学）

题  目：Density of orbits and arithmetic degrees of automorphisms of projective threefolds

时  间：2023.03.09（星期四），15:00-16:00

地  点：数学院南楼 N 933

摘 要：The Zariski dense orbit conjecture of the arithmetic dynamic is to study the existence of a rational point P with a Zariski dense orbit of a dominant rational self-map f of a projective variety X. When there exist such a rational point P, Prof. Kawaguchi and Prof. Silverman conjecture defined the arithmetic degree at P and claimed that its arithmetic degree is equal to the first dynamical degree of f, i.e., Kawaguchi-Silverman conjecture of the arithmetic dynamic.  In this talk, I will explain my recent progress towards on the Zariski dense orbit conjecture and Kawaguchi-Silverman conjecture on automorphisms of projective threefolds from the viewpoint of the  explicit birational geometry.