Speaker: Professor Robert Seiringer, Institute of Science and Technology (Austria)

Beijing Time: 21:00-22:00, October 14th (Tuesday), 2025;

Zoom Meeting ID: 827 9715 0867, Passcode:  202510

Abstract: The Lieb-Thirring Inequalities give a lower bound on the sum of the gradient norms of orthonormal functions in terms of an L^p-norm of the corresponding density (the sum of the squares of the functions). They improve upon Sobolev Inequalities by taking into account the orthogonality of the functions. They were introduced in 1976 by Lieb and Thirring to give a proof of the stability of matter in quantum mechanics, and have since proved very useful in many other applications. We present a new and simple proof of a refined version of the inequalities, and explain their connection to the local density approximation in density-functional theory. (Joint work with Jan Philip Solovej)

报告人简介：Robert Seiringer现为奥地利科技研究院教授、奥地利科学院院士、欧洲科学院院士，曾担任国际数学物理联盟主席。主要从事量子多体系统分析方面的理论研究，在Ann. of Math.、Invent. Math.、JAMS、CPAM、Duke Math. J.、JEMS等国际顶尖数学期刊上发表论文近150篇，现为Comm. Math. Phys.主编。