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UID:7840edf6df27ff9f0284666dd0f25f13
CATEGORIES:Geometric Analysis Seminar
CREATED:20241118T131853
SUMMARY:Eigenvalue estimates on self-shrinkers
LOCATION:Hill-705
DESCRIPTION:We discuss an eigenvalue estimate that holds on every embedded self-similar
  shrinker for mean curvature flow. This result is obtained via a Reilly-typ
 e formula and can be viewed as an analogue of the first eigenvalue estimate
  obtained by Choi and Wang for embedded minimal hypersurfaces in the round 
 sphere. Our estimate generalizes earlier work of Ding and Xin on closed sel
 f-shrinkers by introducing and minimizing a new functional to treat the non
 -compact case. This is joint work with Simon Brendle.
X-ALT-DESC;FMTTYPE=text/html:<blockquote style="color: #242424; font-family: 'Segoe UI', 'Segoe UI Web (
 West European)', -apple-system, BlinkMacSystemFont, Roboto, 'Helvetica Neue
 ', sans-serif; font-size: 15px; font-style: normal; font-weight: 400; lette
 r-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-tr
 ansform: none; widows: 2; word-spacing: 0px; white-space: normal; backgroun
 d-color: #ffffff; margin: 0px 0px 0px 0.8ex; padding-left: 1ex; border-left
 : 1px solid #cccccc;"><span face="tahoma,sans-serif" data-olk-copy-source="
 MessageBody" style="font-family: tahoma, sans-serif;">We discuss an eigenva
 lue estimate that holds on every embedded self-similar shrinker for mean cu
 rvature flow. This result is obtained via a Reilly-type formula and can be 
 viewed as an analogue of the first eigenvalue estimate obtained by Choi and
  Wang for embedded minimal hypersurfaces in the round sphere. Our estimate 
 generalizes earlier work of Ding and Xin on closed self-shrinkers by introd
 ucing and minimizing a new functional to treat the non-compact case. This i
 s joint work with&nbsp;Simon&nbsp;Brendle.</span></blockquote>
CONTACT:Raphael Tsiamis
DTSTAMP:20260827T115847
DTSTART;TZID=America/New_York:20241119T145000
DTEND;TZID=America/New_York:20241119T155000
SEQUENCE:0
TRANSP:OPAQUE
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