Magnetic Laplacian on differential forms

17.02.2023, 11:00  –  Golm, Haus 9, 2.22 + Zoom
Arbeitsgruppenseminar Analysis

Georges Habib (University of Lebanon, Beirut)

In this work, we introduce the magnetic Hodge Laplacian, which is a generalization of the magnetic Laplacian on functions to differential forms. We consider various spectral results, which are known for the magnetic Laplacian on functions or for the Hodge Laplacian on differential forms, and discuss similarities and differences of this new "magnetic-type'' operator.

This talk is part of the colloquium "Mathematics in Lebanon and beyond," of the partnership between the University of Potsdam and two universities in Beirut, the Lebanese University (UL) and the American University of Beirut (AUB). The colloquium will serve as a meeting place for scientific exchange, bringing together mathematicians and physicists from the Lebanese diaspora, friends of Lebanon from around the world, and researchers based in Lebanon.

For more information and log in details please contact Sylke Pfeiffer (sypfeifferATuni-potsdam.de).