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SUMMARY:Geometric properties of optimizers for the maximum gradient of the
  torsion function
DTSTART:20261019T140000Z
DTEND:20261019T150000Z
DTSTAMP:20261015T123300Z
UID:indico-event-17551@indico.math.cnrs.fr
DESCRIPTION:Speakers: Phanuel Mariano (Union College)\n\nThe torsion funct
 ion for a domain is a classical object in the theory of elasticity that\nm
 easures the resistance to twisting for a rod with cross-sections given by 
 such domain.\nMotivated by this\, we consider an extremal problem for the 
 maximum gradient of the\ntorsion function\, ranging over bounded convex pl
 anar domains. We show that this\nextremal problem admits a maximizer\, and
  that any maximizer has a C^1 boundary\ncontaining a line segment on which
  its gradient attains its maximum. The proofs are\nprobabilistic in nature
  and use novel coupling techniques. This talk is based on joint work\nwith
  Krzysztof Burdzy and Ilias Ftouhi.\n\nhttps://indico.math.cnrs.fr/event/1
 7551/
LOCATION:313 (Site des Carmes)
URL:https://indico.math.cnrs.fr/event/17551/
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