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

The course provides a gentle introduction to classical aspects of Lieb-Thirring inequalities, their generalization to harmonic analysis, recent progress, and open problems in the field. The learning outcomes include understanding the applications of these inequalities in mathematical physics, PDEs, and functional analysis. The course aims to equip learners with the knowledge of how Lieb-Thirring inequalities can be powerful tools in various mathematical contexts. The teaching method involves a lecture format with slides. This course is intended for individuals interested in functional inequalities, mathematical physics, PDEs, and harmonic analysis.