Einladung zum Vortrag (Zoom) von Herrn Prof. Dr. Mostafa Sabri (Cairo University) am 31.05.2023 - 14:30 Uhr im Rahmen des Forschungsseminars Analysis[31.05.2023]
Im Rahmen des Forschungsseminars Analysis hält am Mittwoch, den 31. Mai 2023, um 14:30 Uhr,
Herr Prof. Dr. Mostafa Sabri (Cairo University)
einen Vortrag zum Thema
Flat bands of periodic graphs
Abstract: The discrete Laplacian of an infinite, Z^d- periodic graph (e.g. Z^d itself, the honeycomb lattice, infinite strips, face-centered cubic lattices...etc) has a band spectrum which is typically absolutely continuous, but for certain geometries, infinitely degenerate eigenvalues appear, which are known as flat bands. They have corresponding eigenvectors of compact support. Flat bands have been extensively studied by physicists in recent years, with hundreds of papers on the subject. Mathematically they have been much less explored, and many fundamental questions remain completely open. I will introduce this exciting topic, give some recent results with Pierre Youssef, and discuss some open problems.
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