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SUMMARY:Spectral theory for Dirac operators with singular potentials - Jus
 si Behrndt (Technische Universität Graz)
DTSTART:20260520T100000Z
DTEND:20260520T110000Z
UID:TALK246466@talks.cam.ac.uk
DESCRIPTION:In this talk\, we discuss qualitative spectral properties of s
 elf-adjoint Dirac operators. We first briefly review some of the standard 
 results for regular potentials and turn to more recent developments afterw
 ards. Our main objective in this lecture is to discuss Dirac operators wit
 h singular potentials supported on curves or hyperplanes\, where it is nec
 essary to distinguish the so-called non-critical and critical cases for th
 e strength of the singular perturbation. In particular\, it turns out that
  Dirac operators with singular potentials in the critical case have some u
 nexpected spectral properties that depend on the geometry of the support o
 f the perturbation. This talk is based on joint some recent works with B. 
 Benhellal\, P. Exner\, M. Holzmann\, V. Lotoreichik\, T. Ourmieres-Bonafos
 \, and K. Pankrashkin.
LOCATION:Seminar Room 2\, Newton Institute
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