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SUMMARY:Dominique Kemp (IU Bloomington)
DTSTART:20201130T220000Z
DTEND:20201130T230000Z
DTSTAMP:20260423T004825Z
UID:OARS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/8/">A w
 eakening of the curvature condition in $\\mathbb{R}^3$ for $\\ell^p$ decou
 pling</a>\nby Dominique Kemp (IU Bloomington) as part of OARS Online Analy
 sis Research Seminar\n\n\nAbstract\nThe celebrated decoupling theorem of B
 ourgain and Demeter allows for a decomposition in the $L^p$ norm of functi
 ons Fourier supported near curved hypersurfaces $M \\subset \\mathbb{R}^n$
 . In this project\, we find that the condition of non-vanishing principal 
 curvatures may be weakened. When $M \\subset \\mathbb{R}^3$\, we may allow
  one principal curvature at a time to vanish\, and it is assumed additiona
 lly that $M$ is foliated by a canonical family of orthogonal curves having
  nonzero curvature at every point. We find that $\\ell^p$ decoupling over 
 nearly flat subsets of $M$ holds within this context.\n
LOCATION:https://researchseminars.org/talk/OARS/8/
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