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SUMMARY:Marco Guaraco (Imperial)
DTSTART:20201103T134500Z
DTEND:20201103T144500Z
DTSTAMP:20260423T005739Z
UID:BOWL/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BOWL/3/">Mul
 tiplicity one of generic stable Allen-Cahn minimal hypersurfaces</a>\nby M
 arco Guaraco (Imperial) as part of B.O.W.L Geometry Seminar\n\n\nAbstract\
 nAllen-Cahn (AC) minimal hypersurfaces are limits of nodal sets of solutio
 ns to the AC equation. An important problem is to understand the local pic
 ture of this convergence. For instance\, can we avoid the situation in whi
 ch the nodal set looks like a multigraph over the limit hypersurface? Gene
 ral examples of this phenomenon\, known as “multiplicity” or "interfac
 e foliation”\,  exist when the limit hypersurface is unstable. Together 
 with A. Neves and F. Marques we proved that\, generically and in all dimen
 sions\, these are the only possible examples of interface foliation\, i.e.
  generic stable AC minimal hypersurfaces can only occur with multiplicity 
 one. We will discuss this and other topics.\n
LOCATION:https://researchseminars.org/talk/BOWL/3/
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