报告地点：行健楼学术活动室526
邀请人：周效尧副教授
摘要 Furstenberg's multiple recurrence theorem states that any topological dynamical system has multiple recurrent points, and he pointed out that this result is equivalent to the famous van der Waerden's theorem. An equivalent form of van der Waerden's theorem is that any piecewise syndetic subset of natural numbers contains arbitrarily long arithmetic progressions. In this report we discuss the relation between multiple recurrence and piecewise syndetic subsets, and give some applications in combinatorial number theory. This talk is based on the joint work with Prof. Wen Huang and Prof. Xiangdong Ye.
报告人简介：邵松教授是2001年6月留校在中国科技大学数学系任教至今。 2005年至2006年，智利 Universidad de Chile 和 Centro de Modelamiento Matematico 从事博士后研究工作。2009年入选教育部新世纪优秀人才支持计划，主持多项国家自然科学基金项目，获2018年度国家自然科学二等奖（排名第三）。研究方向为遍历论及拓扑动力系统。他已经发表了约30篇高水平论文，大部分都发表如 Memoirs of the AMS, Transaction of AMS, Adv. Math., Journal d'Analyse Mathematique, Erg. Th & Dyn. Sys, Israel J. Math., Fund. Math. J. Differential Equations等知名期刊。
