Online talk

The Lieb-Thirring inequality provides a control on the negative eigenvalues of Schrödinger operators in terms of the size of 
the potential. It plays a central role in the analysis of large quantum systems. In this talk I will first introduce the inequality and then focus the discussion on its best constant. After reviewing what is believed, what is known and what is open, I will present new results on the value of the best constant. Collaboration with Rupert L. Frank (Munich, Germany) and David Gontier (ENS & Paris-Dauphine, France).