2024年第7期第64讲：赖俊杰教授学术报告

广州数学大讲坛等七期

第六十四讲——旧金山州立大学赖俊杰教授报告

题目：On Erd"os similarity problem and its variants

时间：2024年10月11日 （周五）下午14：30-15：30

地点：理学实验楼314

报告人：赖俊杰 教授

摘要：Erd"os similarity conjecture asserted that patterns of infinite cardinality can be avoided by a set of positive Lebesgue measure in the sense that the set does not contain affine copies of the given pattern. The conjecture is currently open and fast decaying sequences like $2^{-n}$ has been a bottleneck in resolving the conjecture. In this talk, we will report on two recent progresses of this conjecture. First, we will consider the pattern being Cantor sets. Second, we will consider bi-Lipschitz copies instead of affine copies. Interesting and sharp results will be presented in both considerations.

报告人简介：

赖俊杰（Chun-Kit Lai），美国旧金山州立大学 (San Francisco State University)教授。主要分形几何、调和分析、框架理论和Tiling理论研究。在Adv. Math , JFA, Tran. Amer Math. Soc., Appl. Comput. Harm. Anal等知名期刊发表论文30余篇。