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SUMMARY:Lower and upper bounds for the magnetic lowest Dirichlet-to-Neuman
 n eigenvalue in the strong magnetic limit - Bernard Helffer (Université d
 e Nantes)
DTSTART:20260121T140000Z
DTEND:20260121T150000Z
UID:TALK241678@talks.cam.ac.uk
DESCRIPTION:Inspired by some questions&nbsp\;presented&nbsp\;in a recent a
 rXiv preprint(version v1) by T. Chakradhar\, K. Gittins\, G. Habib and N. 
 Peyerimhoff\,we analyze their conjecture that the ground state energy of t
 he magneticDirichlet-to-Neumann operator tends to $+\\infty$ as the magnet
 ic fieldtends to $+\\infty$. More precisely\, we explore refined conjectur
 es forgeneral domains in $\\mathbb R^2$ or $ \\mathbb R^3$ based on thepre
 vious analysis in the case&nbsp\;of the half-plane and&nbsp\;the disk. Thi
 spart is a work in collaboration with Ayman Kachmar and Fran\\c{c}oisNicol
 eau. In connexion with old works on the magnetic Schr\\"odingeroperator wi
 th J. Nourrigat\, we will also discuss\, if time permits\,recent results b
 y Zhongwei Shen.
LOCATION:Seminar Room 2\, Newton Institute
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