Westlake Online Math Forum | Shaoshi Chen: Arithmetic Dynamics around Linear Differential Equations

2026-03-01 09:08:39
报告人 时间 14:00-16:00
地点 E14-301 2026
月日 03-18

Time:14:00-16:00, Wednesday, March 18 2026

Venue:E14-301


Speaker:Shaoshi Chen, AMSS

Title:Arithmetic Dynamics around Linear Differential Equations

Abstract: We will talk about two types of dynamical systems coming from linear differential equations. The first dynamical system is defined by the coefficient sequence of a linear differential equation. We present a Skolem-Mahler-Lech type theorem on this dynamical system. The second dynamical system is defined by iterated integration of solutions of a linear differential equation. We present some stability results on the order of linear differential equations satisfied by the iterated integrals of these solutions.