Recent results and open problems on Lieb-Thirring inequalities

Rupert Frank (LMU and CalTech)
Tirsdag 23. juni 2020 17:00–18:00 Zoom
Mathematics seminar

NOTICE: This talk is an hour later than usual (at 5 p.m. CET due to the time difference with California).

Lieb-Thirring inequalities bound sums of powers of eigenvalues of Schrödinger operators in terms of integrals of the potential. We survey the problem of sharp constants in these inequalities and discuss recent progress. We include some negative results on the so-called one-particle constant, obtained jointly with Gontier and Lewin.