Academic Report of School of Mathematical Sciences [2026] No. 013

(Series Report for High-Level University Construction No. 1272)

Title：The Arithmetic Distribution Theorem and Its Applications in Dynamical Systems

Speaker：Professor Junyi Xie (Peking University)

Time：15:00-16:00, Feb. 3, 2026

Location：Huiwen Building 1420

Abstract：In the 1990s, Szpiro, Ullmo, and Zhang Shouwu collaborated to prove the arithmetic equidistribution theorem on abelian groups. Subsequently, through the ongoing work of Zhang Shouwu, Yuan Xinyi, Moriwaki, Chambert-Loire, Kühne, and others, its statement has been generalized considerably. Upon its introduction, the Arithmetic Equidistribution Theorem was immediately applied by Ullmo and Zhang Shouwu to prove the renowned Bogomolov Conjecture. It subsequently found extensive applications in Diophantine geometry and arithmetic dynamical systems. This presentation will introduce the statement of the Arithmetic Equidistribution Theorem and its applications within dynamical systems.

Speaker Profile: Junyi Xie, Chair Professor at the Beijing International Center for Mathematical Research, Peking University. Formerly an Associate Researcher at the French National Center for Scientific Research (CNRS). Studied at the Department of Mathematics, University of Science and Technology of China from 2005 to 2008. Pursued studies at the École Normale Supérieure and Paris Diderot University from 2008 to 2011. Awarded a Ph.D. from École Polytechnique in 2014. His primary research focuses on arithmetic dynamical systems and related topics in algebraic geometry, diophantine geometry, and complex dynamical systems. He has published numerous significant papers in leading journals such as Acta Mathematica, Journal of the American Mathematical Society, and Inventiones Mathematicae.

Faculty and students are welcome to attend!

Invited by: Yan Gao

School of Mathematical Sciences

January 30, 2026