报告时间：2021. 07. 05，14：00-17：00

地点：腾讯会议：436 943 002

报告人：高翔，博士。先后毕业于武汉理工大学、华中科技大学和武汉大学。现任职于湖北大学数学与统计学院。曾访问交流于法国亚眠大学、芬兰奥卢大学、华中师范大学，华南理工大学等高校，研究方向为度量数论、动力系统、傅里叶分析在分形中的应用。近期主要关注分形测度的傅里叶变换衰减性的研究及其在分形几何上的应用。

摘要：

The term of convolution is prevalent in mathematics, physics, engineering, etc. In this talk we are mainly concerned with its important role in pure mathematics, not aim to emphasize its vast applications. We shall present some selections of the most commonly used (trick of “convoluting”) in the field of analysis (especially in Fourier analysis), number theory, probability theory, additive combinatorics etc. While our topic is far from sufficient to explain this powerful tool, we shall only illustrate them via several simple examples (maybe well-known) in the above-mentioned fields. Note that we shall present this talk at a leisurely pace, which serve as an introduction (of course by no means cover all material) on these topics at a very elementary level.