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UID:42dee9f9dbd6606590fc86132c8025c3
CATEGORIES:Nonlinear Analysis
CREATED:20230923T131143
SUMMARY: Area minimising currents: singular set rectifiability and tangent cone uniqueness
LOCATION:Hill 705
DESCRIPTION:<p style="font-weight: 400; letter-spacing: normal; text-indent: 0px; text-
 transform: none; white-space: normal; word-spacing: 0px; text-decoration: n
 one; color: #000000; font-family: Times; font-size: medium; orphans: 2; tex
 t-align: left; widows: 2;"><strong>Abstract:&nbsp;</strong>One of the great
  achievements of geometric measure theory is Almgren’s work (1983) on area 
 minimising n-currents of codimension larger than 1, showing that such objec
 ts are smoothly embedded away from a (generally unavoidable) singular set o
 f dimension at most n-2. In this talk, I will discuss recent work with Cami
 llo De Lellis (IAS) and Anna Skorobogatova (Princeton) showing that the sin
 gular set is countably (n-2)-rectifiable, with unique tangent cones at almo
 st every point.</p>
CONTACT: Paul Minter, Princeton University
DTSTAMP:20260921T034140
DTSTART;TZID=America/New_York:20231017T134000
DTEND;TZID=America/New_York:20231017T144000
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