Lieb-Thirring Inequalities: What We Know and What We Want to Know

Explore Lieb-Thirring inequalities in this 46-minute conference talk by Rupert Frank for the International Mathematical Union. Gain insights into these powerful functional inequalities that generalize Sobolev inequalities and their applications in mathematical physics, PDEs, and functional analysis. Discover recent developments extending these inequalities to orthonormal functions in harmonic analysis. Learn about classical aspects, recent progress, and open problems in the field through a gentle introduction. Access accompanying presentation slides for a comprehensive understanding of this advanced mathematical topic.