Some answers to the Bergelson-Hindman's question

报告题目：Some answers to the Bergelson-Hindman's question

报 告 人：吴琴棋 讲师（上海财经大学 ）

邀 请 人：李健 教授

报告时间：2025年8月5日 16:00

报告地点：D实209

报告摘要：Let "large'' be any of piecewise syndetic, central, central*, thick, PS*, IP*, IP$_{< \omega}$*', ip$_n$*, or $\delta$*. it was asked by bergelson and hindman whenever $a$ is large, whether the set $\{(m,n)\in \n^2:m+p_1(n),m+p_2(n),\dots,m+p_d(n)\in a\}$ be large in the same sense. huang, shao and ye confirmed the question for subsets with piecewise syndeticity. in this talk, we present recent progress on the rest of bergelson-hindman's question.

报告人简介：吴琴棋，2024年博士毕业于中国科学技术大学，现任上海财经大学讲师，主要从事拓扑动力系统和遍历论方面的研究，在Commun. Math. Stat.，J. Differ. Equations，Proc. Am. Math. Soc. 期刊发表论文多篇。