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UID:20260509T084312EDT-1488TKUEp9@132.216.98.100
DTSTAMP:20260509T124312Z
DESCRIPTION:Title: Homogenization of Steklov problems with applications to 
 sharp isoperimetric bounds\, part II.\n	Abstract: Traditionally\, determini
 stic homogenisation theory uses the periodic structure of Euclidean space 
 to describe uniformly distributed perturbations of a PDE. It has been know
 n for years that it has many applications to shape optimisation. In this t
 alk\, I will describe how the lack of periodic structure can be overcome t
 o saturate isoperimetric bounds for the Steklov problem on surfaces. The c
 onstruction is intrinsic and does not depend on any auxiliary periodic obj
 ects or quantities. Using these methods\, we obtain the existence of free 
 boundary minimal surfaces in the unit ball with large area. I will also de
 scribe how the intuition we gain from the homogenisation construction allo
 ws us to actually construct some of them\, partially verifying a conjectur
 e of Fraser and Li. This talk is based on joint work with Alexandre Giroua
 rd (U. Laval)\, Antoine Henrot (U. de Lorraine) and Mikhail Karpukhin (UCI
 ).\n\n \n\nFor zoom meeting ID and password please contact dmitry.jakobson
  [at] mcgill.ca\n
DTSTART:20200501T174500Z
DTEND:20200501T184500Z
SUMMARY:Jean Lagacé (UCL)
URL:https://www.mcgill.ca/mathstat/channels/event/jean-lagace-ucl-321880
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