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SUMMARY:Fritz Hiesmayr (University College London)
DTSTART:20200922T170000Z
DTEND:20200922T180000Z
DTSTAMP:20260423T035019Z
UID:OSGA/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/29/">A 
 rigidity theorem for the Allen-Cahn equation in $S^3$</a>\nby Fritz Hiesma
 yr (University College London) as part of Online Seminar "Geometric Analys
 is"\n\n\nAbstract\nWe present a recent rigidity theorem for the Allen-Cahn
  equation in the three-sphere: critical points with Morse index are symmet
 ric and vanish on a Clifford torus. One key ingredient is a novel Frankel-
 type property we establish for the nodal sets of any two distinct solution
 s: they intersect if they are connected. This in fact holds in all manifol
 ds with positive Ricci curvature. Time permitting we will discuss addition
 al rigidity results in higher-dimensional spheres.\n
LOCATION:https://researchseminars.org/talk/OSGA/29/
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