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SUMMARY:Gábor Székelyhidi (Notre Dame)
DTSTART:20210302T134500Z
DTEND:20210302T144500Z
DTSTAMP:20260423T005659Z
UID:BOWL/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BOWL/16/">Un
 iqueness of certain cylindrical tangent cones</a>\nby Gábor Székelyhidi 
 (Notre Dame) as part of B.O.W.L Geometry Seminar\n\n\nAbstract\nLeon Simon
  showed that if an area minimizing hypersurface admits a cylindrical tange
 nt cone of the form $C \\times \\mathbb{R}$\, then this tangent cone is un
 ique for a large class of minimal cones $C$. One of the hypotheses in this
  result is that $C \\times \\mathbb{R}$ is integrable and this excludes th
 e case when $C$ is the Simons cone over $S^3\\times S^3$. The main result 
 in this talk is that the uniqueness of the tangent cone holds in this case
  too. The new difficulty in this non-integrable situation is to develop a 
 version of the Lojasiewicz-Simon inequality that can be used in the settin
 g of tangent cones with non-isolated singularities.\n
LOCATION:https://researchseminars.org/talk/BOWL/16/
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