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SUMMARY:Renato Bettiol (Lehman College\, CUNY)
DTSTART:20201028T150000Z
DTEND:20201028T160000Z
DTSTAMP:20260423T053131Z
UID:VSGS/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/15/">Mi
 nimal spheres in ellipsoids</a>\nby Renato Bettiol (Lehman College\, CUNY)
  as part of Virtual seminar on geometry with symmetries\n\n\nAbstract\nIn 
 1987\, Yau posed the question of whether all minimal 2-spheres in a 3-dime
 nsional ellipsoid inside $\\mathbb R^4$ are planar\, i.e.\, determined by 
 the intersection with a hyperplane. While this is the case if the ellipsoi
 d is nearly round\, Haslhofer and Ketover have recently shown the existenc
 e of an embedded non-planar minimal 2-sphere in sufficiently elongated ell
 ipsoids\, with min-max methods. Using bifurcation theory and the symmetrie
 s that arise if at least two semi-axes coincide\, we show the existence of
  arbitrarily many distinct embedded non-planar minimal 2-spheres in suffic
 iently elongated ellipsoids of revolution. This is based on joint work wit
 h P. Piccione.\n
LOCATION:https://researchseminars.org/talk/VSGS/15/
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