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UID:20251121T113438EST-01793aHRKR@132.216.98.100
DTSTAMP:20251121T163438Z
DESCRIPTION:Title: Isoperimetric inequalities for the lowest Aharonov-Bohm 
 eigenvalue of the Neumann and Steklov problems.\n\nAbstract: We discuss is
 operimetric inequalities for the magnetic Laplacian on a bounded domain Ω 
 endowed with an Aharonov-Bohm potential A with pole at a fixed point x0 ∈ 
 Ω. Since A is harmonic on Ω \ {x0}\, the magnetic field vanishes\; the spe
 ctrum for the Neumann condition (or for the Steklov problem) reduces to th
 at of the usual non-magnetic Laplacian\, but only when the flux of the pot
 ential A around the pole is an integer. When the flux is not an integer th
 e lowest eigenvalue is actually positive\, and the scope of the talk is to
  show how to generalize the classical inequalities of Sz¨ego-Weinberger\, 
 Brock and Weinstock to the lowest eigenvalue of this particular magnetic o
 perator\, the model domain being a disk with the pole at its center. We co
 nsider more generally domains in the plane endowed with a rotationally inv
 ariant metric (which include the spherical and the hyperbolic case).\n\nVi
 sit the Web site: https://archimede.mat.ulaval.ca/agirouard/SpectralClouds
 /\n
DTSTART:20220131T170000Z
DTEND:20220131T180000Z
SUMMARY:Alessandro Savo (Sapienza University of Rome)
URL:/mathstat/channels/event/alessandro-savo-sapienza-
 university-rome-337230
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