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VERSION:2.0
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UID:calendarize-the-dirac-operator-on-conical-domains
DTSTAMP:20260629T153548Z
DTSTART:20260709T123000Z
SUMMARY:THE DIRAC OPERATOR ON CONICAL DOMAINS
DESCRIPTION:Lecture announcement\n \nAs part of the Advanced Seminar on An
alysis and Numerics\,\nMr Eric Trébuchon \n(University of Freiburg)\n \nT
HE DIRAC OPERATOR ON CONICAL DOMAINS\n \nAbstract "This talk concerns the
self-adjointness and regularity of the Dirac operator with boundary condit
ions on domains containing singularities. We first review known results fo
r two-dimensional corner domains and for convex domains with MIT boundary
conditions. We then extend this theory to higher-dimensional conical domai
ns with generic local boundary conditions\n \nThe key idea is to locally t
ransform the Dirac operator under general boundary conditions on a conical
domain near the singularities into a perturbed Dirac operator under MIT b
oundary conditions on the model cones. This process introduces a perturbat
ion that can be dealt with using the Kato–Rellich theorem. In the model
case\, the theory relies heavily on the separation ansatz and a spectral g
ap on the link of the cone\, which ultimately ensures self-adjointness and
regularity."\n \nThe lecture will take place on\nThursday\, 9 July 2026 a
t 2.30 pm in Room W01 1-117\nAnyone interested is warmly invited to attend
.\n \n
X-ALT-DESC;FMTTYPE=text/html:Lecture announcement
\n
\nAs part of the
Advanced Seminar on Analysis and Numerics\,
\nMr Eric Trébuchon
\n
(University of Freiburg)
\n
\nTHE DIRAC
OPERATOR ON CONICAL DOMAINS
\n
\nAbstract "This talk concerns the self-adjointness and regulari
ty of the Dirac operator with boundary conditions on domains containing si
ngularities. We first review known results for two-dimensional corner doma
ins and for convex domains with MIT boundary conditions. We then extend th
is theory to higher-dimensional conical domains with generic local boundar
y conditions
\n
\nThe key idea is to locally transform the Dira
c operator under general boundary conditions on a conical domain near the
singularities into a perturbed Dirac operator under MIT boundary condition
s on the model cones. This process introduces a perturbation that can be d
ealt with using the Kato–Rellich theorem. In the model case\, the theory
relies heavily on the separation ansatz and a spectral gap on the link of
the cone\, which ultimately ensures self-adjointness and regularity."
\n
\nThe lecture will take place on
\
nThursday\, 9 Jul
y 2026 at 2.30 pm in Room W01 1-117
\nAnyone interested is warmly invit
ed to attend.
\n
\n
LOCATION:
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