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SUMMARY:Intersections of quadrics and Hamiltonian-minimal Lagrangian subma
 nifolds
DTSTART:20131106T171500
DTEND:20131106T180000
DTSTAMP:20260922T015640Z
UID:574e8861d83c7b4962106c25891a42d3cd113bfb8557cb68e8e2b6e6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Taras Panov (Moscow State University)\nHamiltonian Dynamics Se
 minarAbstract: Hamiltonian minimality (H-minimality) for Lagrangian subman
 ifolds is a symplectic analogue of minimality in Riemannian geometry. A La
 grangian immersion is called H-minimal if the variations of its volume alo
 ng all Hamiltonian vector fields are zero.\nWe study the topology of H-min
 imal Lagrangian submanifolds N in C^m constructed from intersections of re
 al quadrics in the work of Mironov. This construction is linked via an emb
 edding criterion to the well-known Delzant construction of Hamiltonian tor
 ic manifolds.\nBy applying the methods of toric topology we produce new ex
 amples of H-minimal Lagrangian submanifolds with quite complicated topolog
 y. The interpretation of our construction in terms of symplectic reduction
  leads to its generalisation providing new examples of H-minimal submanifo
 lds in toric varieties.\nThe talk is based on a joint work with Andrey Mir
 onov.
LOCATION:MA A3 31 http://plan.epfl.ch/?room=MA%20A3%2031
STATUS:CONFIRMED
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