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UID:49c2d14aa26f178db23a7914a047b5aa
CATEGORIES:Special Colloquium
CREATED:20221214T151350
SUMMARY:A stability theory for isoperimetric and minimal area problems
LOCATION:Zoom
DESCRIPTION:<p style="background: white;">Abstract: We offer a non-technical, panoramic
  view on some old and new results concerning the quantitative description o
 f minimizers and critical points in basic geometric variational problems in
 volving area. In the first part of the talk we review basic results on almo
 st-isoperimetric and almost-constant mean curvature boundaries, both in the
  Euclidean and in the Riemannian setting. In the second part of the talk, w
 e introduce the approximation of possibly singular minimal surfaces by "soa
 p films" with positive, small volume. Finally, we revisit some of these res
 ults in the more physical context of Allen-Cahn surface tension energies, a
 nd introduce a new convergence theorem for the diffused interface volume pr
 eserving mean curvature flow.&nbsp;</p>
CONTACT:Francesco Maggi,  University of Texas at Austin
DTSTAMP:20260830T103803
DTSTART;TZID=America/New_York:20221215T140000
DTEND;TZID=America/New_York:20221215T150000
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