In this talk I will present various results concerning interpolation inequalities, best constants and information about the extremal functions concerning Schrödinger magnetic operators in dimensions 2 and 3. The particular, and physical interesting cases of constant and of Aharonov-Bohm magnetic fields will be discussed in detail.

These works have been made in collaboration with D. Bonheure, J. Dolbeault, A. Laptev and M. Loss.

To get an invitation to the zoom-meeting, please contact one of the organisers (see the series link above).