Arithmetic Dynamics around Linear
Differential Equations
报告专家：陈绍示 研究员（中国科学院数学与系统科学研究院）
报告时间：2026年4月7日（星期二）下午16:00-17:00
报告地点：数学学院西303
报告摘要：
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.
专家简介：
陈绍示, 现为中国科学院数学与系统科学研究院研究员。主要研究符号计算、机器证明与组合理论。在符号计算旗舰会议ISSAC与数学期刊 Foundations of Computational Mathematics, Algebra and Number Theory, Selecta Mathematica等发表论文40余篇。目前担任Journal of Symbolic Computation, Annals of Combinatorics, Journal of Difference Equations and Applications, Journal of Systems Science and Complexity, 和《系统科学与数学》等杂志编委，还担任中国数学会计算机数学专业委员会主任与中国运筹学会图论组合分会副秘书长。曾获得第二届 “吴文俊计算机数学青年学者奖”(2019)，第46届国际符号与代数计算年会(ISSAC2021)“杰出论文奖”，与国际计算机代数应用大会(ACA2022)“青年学者奖”。
