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SUMMARY:Tristan Ozuch (Massachusetts Institute of Technology)
DTSTART:20251209T150000Z
DTEND:20251209T160000Z
DTSTAMP:20261023T084339Z
UID:Geolis/177
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/177/"
 >Stability of 4-dimensional shrinking Ricci solitons</a>\nby Tristan Ozuch
  (Massachusetts Institute of Technology) as part of Geometria em Lisboa (I
 ST)\n\n\nAbstract\nDimension 4 is the next horizon for applications of Ric
 ci flow to topology\, where the main goal is to understand the topological
  operations that Ricci flow generically performs at singular times. Shrink
 ing Ricci solitons model these topological operations\, and only the stabl
 e ones should arise generically.\n\n\n\nI will present recent joint works 
 with Olivier Biquard and Keaton Naff that determine the stability of all o
 f the currently known shrinking Ricci solitons in dimension 4. The argumen
 ts use structural features unique to dimension four\, in particular self-d
 uality.\n
LOCATION:https://researchseminars.org/talk/Geolis/177/
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