关于举行香港中文大学丰德军教授学术报告会的通知

报告题目：On arithmetic sums of fractal sets

报 告 人：丰德军教授（香港中文大学）

报告时间：2018年4月28日（星期六）下午3:00-4:00

报告地点：4号楼4141室

邀 请 人：李 兵教授 

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                                                                                          数学学院

                                                                                     2018年4月25日

报告摘要：Let $E$ be a compact subset of ${\Bbb R}^d$. For $n\in {\Bbb N}$, let $\oplus_nE=E+\cdots+E$ be the $n$-fold arithmetic sum of $E$. In this talk, we consider the general question whether $\oplus_nE$ has non-empty interior for large $n$. We give a confirmative answer under the assumption that the ``thickness`` of $E$ is positive. The assumption is fulfilled by many natural fractal sets. This is based on joint work with Yufeng Wu.