Speaker: Professor Rupert L. Frank, LMU Munich (Germany)

German Time:  9: 00--10: 00 AM, October 31st (Friday), 2025;

Beijing Time:  16: 00--17: 00 PM, October 31st (Friday), 2025;

Zoom Meeting ID: 824 1542 9430,  Passcode:  202510

Abstract: Lieb--Thirring inequalities are functional inequalities that generalize Sobolev inequalities and that have proved to be powerful tools in several questions from mathematical physics, PDEs and functional analysis. Recently, in the spirit of Lieb- -Thirring inequalities, certain inequalities in harmonic analysis were extended to the setting of orthonormal functions. In this talk we give a gentle introduction to classical aspects of the subject, some recent progress and some open problems.

报告人简介：Rupert L. Frank现为德国慕尼黑大学教授、国际数学家大会45分钟报告人。他的主要研究领域包括泛函分析、偏微分方程和谱理论等方向，具体涉及泛函不等式、分数阶拉普拉斯算子、半经典谱渐近、自伴与非自伴薛定谔算子的特征值等，在Acta Math、Ann. of Math.、J. Amer. Math. Soc.、Invent. Math.、Duke Math. J.、JEMS、CPAM等国际一流杂志期刊上发表论文180余篇。