Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	李思辰,华东理工大学
Inviter:	刘杰
Title:	Density of orbits and arithmetic degrees of automorphisms of projective threefolds
Language:	Chinese&English
Time & Venue:	2023.03.09 15:00-16:00 南楼N933
Abstract:	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.