Direct methods to Lieb-Thirring inequalities

Time：Thurs., 2:00-3:00 pm, Sept. 12, 2024

Venue：B627, Shuangqing Complex Building A

Speaker：Phan Thanh Nam

Speaker：

Phan Thanh Nam

Mathematics Institute, LMU Munich

Time：

Thurs., 2:00-3:00 pm, Sept. 12, 2024

Venue：

B627, Shuangqing Complex Building A

清华大学双清综合楼A座 B627报告厅

\ Abstract /

I will discuss recent developments in Lieb-Thirring inequalities for the kinetic energy of orthonormal functions, which generalize Sobolev's inequality to infinite systems by incorporating the uncertainty and exclusion principles from quantum mechanics. The focus will be on direct methods that bypass the traditional reliance on eigenvalue bounds for Schrödinger operators.

\ About the Speaker /

Phan Thanh Nam

Mathematics Institute, LMU Munich

Research interests:

Analysis and Mathematical Physics

Many-body quantum mechanics

Spectral estimates for Schrödinger operators

Calculus of variations and partial differential equations

Editorial board

Personal Homepage:

https://www.mathematik.uni-muenchen.de/~nam/

DATESeptember 10, 2024

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