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SUMMARY:Morse theory for minimal surfaces: emanating flow lines - Giada Fr
 anz (Université Gustave Eiffel)
DTSTART:20260324T101500Z
DTEND:20260324T111500Z
UID:TALK241126@talks.cam.ac.uk
DESCRIPTION:Morse theory provides a framework for studying the infinite-di
 mensional space of embedded hypersurfaces in a fixed ambient manifold thro
 ugh the analysis of the area functional. A special role in this picture is
  played by minimal hypersurfaces\, which are precisely the critical points
  of this functional. By analogy with classical Morse theory\, one expects 
 that a minimal hypersurface of Morse index I should admit an I-dimensional
  unstable manifold emanating from it. In this talk\, I will present recent
  results that make this heuristic precise by constructing and characterizi
 ng ancient solutions to mean curvature flow that emanate from minimal hype
 rsurfaces. Particular focus will be given to the case of hypersurfaces wit
 h boundary.
LOCATION:Seminar Room 1\, Newton Institute
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