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SUMMARY:Paul Minter (University of Cambridge)
DTSTART:20220119T123000Z
DTEND:20220119T143000Z
DTSTAMP:20260423T041220Z
UID:NCTS-GMT/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NCTS-GMT/8/"
 >A structure theory for branched stable hypersurfaces</a>\nby Paul Minter 
 (University of Cambridge) as part of NCTS international Geometric Measure 
 Theory seminar\n\n\nAbstract\nThere are few known general regularity resul
 ts for stationary integral varifolds aside from Allard’s celebrated theo
 ry. The primary reason for this is the possibility of a degenerate type of
  singularity\nknown as a branch point\, where at the tangent cone level si
 ngularities vanish and are replaced with regions of higher multiplicity. I
 n this talk I will discuss a recent regularity theory for branched stable\
 nhypersurfaces which do not contain certain so-called classical singularit
 ies\, including new tangent cone uniqueness results in the presence of bra
 nch points. This theory can be readily applied to area\nminimising hypercu
 rrents mod p\, which resolves an old conjecture from the work of Brian Whi
 te. Some results are joint with Neshan Wickramasekera.\n\nGet-together (30
  min) $\\cdot$ presentation Paul Minter (60 min) $\\cdot$ questions and di
 scussions (30 min).\n
LOCATION:https://researchseminars.org/talk/NCTS-GMT/8/
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