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UID:5fc16d2a6756e7048d5cae2c67379a8c
CATEGORIES:Topology/Geometry Seminar
CREATED:20251109T004332
SUMMARY:Diameter Estimates along Mean Curvature Flow
LOCATION:Hill 705
DESCRIPTION:<p><span style="color: #3d3d3d; font-family: 'Open Sans'; font-size: 17.333
 3px; font-style: normal; font-weight: 400; letter-spacing: normal; orphans:
  2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; w
 ord-spacing: 0px; white-space: normal; float: none;">In this talk, we will 
 study the mean curvature flow in R^3.&nbsp; The extrinsic diameter is trivi
 ally bounded by the avoidance principle, but the intrinsic diameter is far 
 subtler: near singularities, the evolving surface may develop long, spirali
 ng, or fractal-like regions whose intrinsic geometry could, a priori, degen
 erate. We show that the intrinsic diameter of mean curvature flow in R^3 is
  uniformly bounded as one approaches the first singular time, which confirm
 s a conjecture of&nbsp;Haslhofer. In addition, we establish several sharp q
 uantitative estimates of mean curvature flow. This is a joint work with Yiq
 i Huang(MIT).&nbsp;</span></p>
CONTACT:Wenshuai Jiang, Zhejiang University &amp; IAS
DTSTAMP:20260829T032911
DTSTART;TZID=America/New_York:20251211T160000
DTEND;TZID=America/New_York:20251211T170000
SEQUENCE:0
TRANSP:OPAQUE
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