广州数学大讲坛第六期
第五十三讲——武汉轻工大学刘春苔副教授学术报告
题目：A class of self-affine tiles in $\R^3$ that are tame balls revisited
时间：2023年8月5日（周六）上午10：30-12：00
地点：理学实验楼314
报告人：刘春苔
摘要:We study a family of self-affine tiles in R3 with noncollinear digit sets, which naturally generalizes a two-dimensional class studied originally by Deng and Lau (2011, JMAA). We mainly present a simpler proof of the result in [1](2022, Adv.). Replacing quadric surfaces by some fold planes, we redefine the quasi-invariant plane which plays a key role in the constructing the desired homeomorphism. This adjustment simplifies the proof of the result: That the interior of a certain self-affine tile is connected implies that the self-affine tile is a tame ball.
报告人简介：
刘春苔，武汉轻工大学副教授，硕士生导师，已主持国家自然科学基金(青年基金)项目一项，已在Adv. Math., Trans. AMS等知名期刊发表SCI论文近18篇。
