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数苑经纬讲坛(41):Lieb-Thirring inequality for eigenvalue optimization

发布时间:2025-11-05 作者: 浏览次数:

Speaker: Professor David Gontier, National School of Bridges and Roads(France)

French Time:  9: 00--10: 00 AM, November 6th (Thursday), 2025

Beijing Time:  16: 00--17: 00 PM, November 6th (Thursday), 2025

Zoom Meeting ID: 883 5811 8073, Passcode:  202511

Abstract: In the second talk, we will switch to Lieb-Thirring inequality, which concerns the optimization of the N first eigenvalues of an operator, and talk about other general fermionic inequalities. I will demonstrate how a subtle tunnelling effect between fermions can bound the system together. In particular, I will exhibit a non-linear model where a system with N=1 particle is never stable, while optimizers with N=2 fermions can exist.

报告人简介:David Gontier现为法国国立路桥学校研究员。他的主要研究领域包括非线性分析、谱理论、变分法、偏微分方程、数学物理、量子力学等,在AJM, CMP, ARMA, PRL等国际一流杂志期刊上发表论文30余篇。