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SUMMARY:Minimal surface doublings via electrostatics - Daniel Stern (Corne
 ll University)
DTSTART:20260324T114500Z
DTEND:20260324T124500Z
UID:TALK241129@talks.cam.ac.uk
DESCRIPTION:I'll discuss joint work with Adrian Chu\, relating Kapouleas's
  doubling construction for minimal surfaces to the variational theory for 
 a Coulomb-type interaction energy for Schroedinger operators. For the Jaco
 bi operator of a nondegenerate minimal surface\, we show that suitable fam
 ilies of critical points of this energy give rise to high-genus minimal su
 rfaces\, provided a few key estimates are satisfied. By studying the groun
 d states for this energy\, we show that a generic minimal surface of index
  one admits such a doubling\, and deduce as a corollary that generic 3-man
 ifolds contain sequences of embedded minimal surfaces with bounded area an
 d arbitrarily large genus. I'll also make some comparisons with the constr
 uction of minimal doublings via eigenvalue optimization.
LOCATION:Seminar Room 1\, Newton Institute
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