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UID:249@math.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20240620T143000

DTEND;TZID=Asia/Jerusalem:20240620T153000

DTSTAMP:20250109T093744Z

URL:https://math.technion.ac.il/events/symplectic-and-kahler-type-embeddin
 gs-of-ellipsoids-graduation-seminar/

SUMMARY:Symplectic and Kähler-type embeddings of ellipsoids-Graduation Sem
 inar
DESCRIPTION:Lecturer:Mark Gudiev \n Location:ZOOM\n In their paper "Symplec
 tic packings and algebraic geometry"\, McDuff and Polterovich showed that 
 the existence of a symplectic embedding of a disjoint union of balls into 
 a symplectic manifold $M$ of the same dimension is equivalent to the exist
 ence of a symplectic form on the complex blow-up $\\tilde{M}$ of $M$ which
  lies in a certain cohomological class and satisfies a certain additional 
 property.\n\n&nbsp\;\n\nOne can consider symplectic embeddings which addit
 ionally respect some complex structure on $M$. A symplectic embedding is c
 alled Kähler-type if it is holomorphic with respect to some integrable co
 mplex structure compatible with the symplectic form. Recently Entov and Ve
 rbitsky studied properties of the space of Kähler-type embeddings and pro
 ved a similar criterion for the existence of such embeddings using techniq
 ues of complex geometry.\n\n&nbsp\;\n\nIn my talk I will present generaliz
 ations of these results to the case of symplectic and Kähler-type embeddi
 ngs of disjoint unions of ellipsoids\, and will apply them to study such e
 mbeddings into specific target manifolds.\n\nAdvisor: Prof. Michael Entov\
 n https://technion.zoom.us/j/99694784046
CATEGORIES:Geometry and Topology Seminar,Graduation Seminars,Seminars
LOCATION:ZOOM

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