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SUMMARY:Joaquim Serra (ETH Zurich)
DTSTART:20251119T100000Z
DTEND:20251119T120000Z
DTSTAMP:20260423T040045Z
UID:NCTS-GMT/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NCTS-GMT/32/
 ">Recent Progress on Stable Solutions of the Allen–Cahn Equation</a>\nby
  Joaquim Serra (ETH Zurich) as part of NCTS international Geometric Measur
 e Theory seminar\n\n\nAbstract\nI will present recent results and open pro
 blems concerning stable\nsolutions of the Allen–Cahn equation and its fr
 ee boundary version. In\nparticular\, I will discuss the long-standing pro
 blem of classifying\nstable solutions to the Allen–Cahn equation\, both 
 with and without area\nbounds\, in low dimensions\, and the consequences o
 f these\nclassifications. I will outline the classical results and highlig
 ht more\nrecent developments\, emphasizing the main difficulties in the pr
 oblem\nand some of the key ideas underlying the proofs of our recent resul
 ts.\n\nThe talk is based on two papers: one joint with Chan\, Figalli\, an
 d\nFernández-Real\, and another joint with Florit and Simon.\n
LOCATION:https://researchseminars.org/talk/NCTS-GMT/32/
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