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SUMMARY:Jake Solomon (Hebrew University of Jerusalem)
DTSTART:20220309T121000Z
DTEND:20220309T133000Z
DTSTAMP:20260423T021706Z
UID:GDS/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/49/">The
  cylindrical transform</a>\nby Jake Solomon (Hebrew University of Jerusale
 m) as part of Geometry and Dynamics seminar\n\n\nAbstract\nA Lagrangian su
 bmanifold of a Calabi-Yau manifold is called positive if the \nrestriction
  to it of the real part of the holomorphic volume form is positive. \nThe 
 space of positive Lagrangians admits a Riemannian metric of non-positive \
 ncurvature. Understanding the geodesics of the space of positive Lagrangia
 n \nsubmanifolds would shed light on questions ranging from the uniqueness
  and \nexistence of volume minimizing Lagrangian submanifolds to Arnold's 
 nearby \nLagrangian conjecture. The geodesic equation is a non-linear dege
 nerate elliptic \nPDE. I will describe work with A. Yuval on the cylindric
 al transform\, which \nconverts the geodesic equation to a family of non-d
 egenerate elliptic boundary \nvalue problems. As a result\, we obtain exam
 ples of geodesics in arbitrary \ndimension that are not invariant under an
 y isometries. The talk will be aimed \nat a broad audience.\n
LOCATION:https://researchseminars.org/talk/GDS/49/
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