Some Harmonic Analysis Problems Related to Curvature

讲座题目：Some Harmonic Analysis Problems Related to Curvature 
讲座时间 Datetime: 2026年1月22日，周四，15：00 - 16：00
地点 Venue: 海琴二号A457 
主持人 Host：黄山林 副教授
报告人 Speaker: 李俊峰 教授

单位 Affiliation: 大连理工大学
报告摘要 In this talk, I will discuss some harmonic analysis problems related to curvature. The first concerns the boundedness of singular integral operators along curves, and the second involves space-time estimates for Schrödinger operators. The former examines how the curvature properties of spatial curves influence the boundedness of operators, while the latter focuses on the role of curvature in frequency space in determining operator boundedness. Then we consider some mixed estimates for some average operators which concerns both the effectes of the curvature in physical and frequency spaces. These results were obtained in recent years through collaborative work with my colleagues.

报告人简介：李俊峰，教授，博士生导师，德国洪堡学者，北京市高等学校青年英才。主要从事调和分析及其应用研究，研究方向包括与振荡积分相关的算子有界性、非线性色散方程解的长时间行为等。在《Journal de Mathématiques Pures et Appliquées》《Communications in Partial Differential Equations》《Mathematische Zeitschrift》《Journal of Differential Equations》等国际权威期刊发表论文40余篇，并主持多项国家自然科学基金项目。