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SUMMARY:Guido De Philippis (Courant Institute of Mathematical Sciences)
DTSTART:20211022T140000Z
DTEND:20211022T150000Z
DTSTAMP:20260423T021101Z
UID:VMAS/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VMAS/23/">Mu
 ltilinear Kakeya and Michael-Simon inequality for anisotropic stationary v
 arifolds</a>\nby Guido De Philippis (Courant Institute of Mathematical Sci
 ences) as part of Virtual Maxwell Analysis Seminar\n\n\nAbstract\nMichael 
 Simon inequality is a fundamental tool in  geometric analysis and geometri
 c measure theory.  Its extension to anisotropic integrands will allow to e
 xtend to anisotropic integrands a series of results which are currently kn
 own only for the area functional.\n\nIn this talk I will present an anistr
 opic  version of the Michael-Simon inequality\, for for two-dimensional va
 rifolds in R3\, provided that the integrand is close to the area in the C1
 -topology. The proof is deeply inspired by posthumous notes by Almgren\, d
 evoted to the same result. Although our arguments overlap with Almgren’s
 \, some parts are greatly simplified and rely on a nonlinear version of th
 e planar multilinear Kakaeya inequality.\n
LOCATION:https://researchseminars.org/talk/VMAS/23/
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