报告题目：Pointwise convergence of noncommutative Fourier series
报 告 人：洪桂祥 教授 哈尔滨工业大学
报告时间：2024年3月16日 9:30-10:30
报告地点：数学楼一楼第一报告厅
校内联系人：朱森 zhusen@jlu.edu.cn
报告摘要：The study of convergence of Fourier series goes back to the very beginning of Fourier analysis around one hundreds years ago, and it, in particular the Bochner-Riesz mean conjecture, has been still stimulating the development of harmonic analysis and beyond. But the noncommutative (or quantum) harmonic analysis was born just recently. In this talk, I shall present the first pointwise convergence of the Fourier series affiliated to von Neumann algebras generated by non-Abelian groups. Without no doubt, this induces many problems. Based on joint works with Simeng Wang and Xumin Wang.
报告人简介：洪桂祥，哈尔滨工业大学教授，博士生导师，2016年入选国家高层次青年人才项目，2023年获批国家杰出青年基金。研究方向为(经典、向量值、非交换)调和分析，量子概率论，非交换遍历理论，泛函分析及其在量子信息论与非交换几何中的应用。现已在非交换鞅论，非交换遍历论及非交换调和分析等领域上取得突破性进展，解决了若干公开问题；部分工作已发表在Memoirs AMS, Duke Math. J, Math. Annalen, Comm. Math. Phy., Adv. Math., J. Funct. Anal., IMRN和Analysis & PDE等数学期刊上。
