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SUMMARY:Higher codimension area-minimizers: structure of singularities and
  uniqueness of tangent cones
DTSTART:20231114T141500
DTSTAMP:20260511T091550Z
UID:8fe2e060df2c97b4f348822c51a2a23182f78e84f79b227d5d3896b9
CATEGORIES:Conferences - Seminars
DESCRIPTION:Anna Skorobogatova (Univ. of Princeton)\nAbstract: The proble
 m of determining the size and structure of the interior singular set of ar
 ea-minimizing surfaces has been studied thoroughly in a number of differen
 t frameworks\, with many ground-breaking contributions. In the framework o
 f integral currents\, when the codimension of the surface is higher than 1
 \, the presence of singular points with flat tangent cones creates an obst
 ruction to easily understanding the interior singularities. Little progres
 s has been made in full generality since Almgren’s celebrated (m-2)-Haus
 dorff dimension bound on the singular set for an m-dimensional area-minimi
 zing current\, which was since revisited and simplified by De Lellis and S
 padaro.\n\n \n\nIn this talk I will discuss recent joint works with Camil
 lo De Lellis and Paul Minter\, where we establish (m-2)-rectifiability of 
 the interior singular set of an m-dimensional area-minimizing integral cur
 rent and show that the tangent cone is unique at \\mathcal{H}^{m-2}-a.e. i
 nterior point.
LOCATION:MA B2 485 https://plan.epfl.ch/?room==MA%20B2%20485
STATUS:CONFIRMED
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