25.07.2024, 16:30
– Raum 0.14
Forschungsseminar Differentialgeometrie
Dirac eigenvalues, hyperspherical radius and applications
Christian Bär (UP)
Matthias Ludewig (Adelaide)
Recently, physicists have been able to create “topological states” localised on the boundary of a 2D system, which have rather crazy properties: they fill up spectral gaps in the boundary-less 2D problem, and have quantised propagation along the boundary regardless of its shape. I will exhibit how operator K-theory can be used to explain this phenomenon.