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UID:20251221T074654EST-5197hvS8wf@132.216.98.100
DTSTAMP:20251221T124654Z
DESCRIPTION:Title: Stable and unstable spectral inequalities\n\nAbstract:\n
 \nIn the last years\, the stability question of several classical spectral
  inequalities has been raised in the vein of the result by Fusco\, Maggi a
 nd Pratelli (2008)\,which gives a sharp quantitative form of the isoperime
 tric inequality. After an introduction to this topic\, I will focus on som
 e recent results obtained with M. Nahon and A. Giacomini on spectral probl
 ems involving boundary energies.Precisely\, following a question raised by
  Girouard and Polterovich\, I will showthat the Weinstock inequality is ge
 nuinely unstable\, namely that the supremum of the (perimeter normalized) 
 first non-zero eigenvalue of the Steklov problemcan be achieved in the geo
 metric neighbourhood of any smooth simply connected domain of the plane. T
 ime remaining\, I will introduce a new method to prove quantitative forms 
 of spectral inequalities of Robin type which relies onthe analysis of a ne
 w class of geometric/energy functionals in the context of free discontinui
 ty/free boundary problems. This talk is a based on joint works withM. Naho
 n and A. Giacomini.\n\nFor Zoom meeting ID and Password please email dmitr
 y.jakobson [at] mcgill.ca\n
DTSTART:20200504T154500Z
DTEND:20200504T164500Z
SUMMARY:Dorin Bucur
URL:/mathstat/channels/event/dorin-bucur-322022
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