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SUMMARY:E-symplectic and almost regular Poisson manifolds [MPIM]
DTSTART:20250605T104500Z
DTEND:20250605T114500Z
DTSTAMP:20260420T155400Z
UID:indico-event-475@math-events.uni-bonn.de
DESCRIPTION:Speakers: Alfonso Garmendia (MPIM)\n\nBonn symplectic geometry
  seminar\nWhen considering manifolds with boundary it is common to only co
 nsider vector fields tangent to the boundary. This set of vector fields is
  called the b-foliation and it coincides with sections of a vector bundle 
 B. This choice of vector fields allows us to consider smooth sections on E
 *\, which do not correspond to smooth forms but they give smooth functions
  when evaluated on elements of the b-foliation. A well studied class of si
 ngular symplectic manifolds are b-symplectic manifolds which are given by 
 a symplectic B form\, i.e. a non degenerate closed section on B*^B*. In th
 is talk we will compare 2 objects. On the one hand\, we will not restrict 
 ourselves to study the b-foliation case\, we will consider any set of vect
 or fields described as sections of some vector bundle E\, and symplectic f
 orms on E\, E-symplectic manifolds. On the other hand\, we will consider a
  similar object\, Poisson manifolds whose symplectic foliation is also con
 trolled by a vector bundle E\, almost regular Poisson manifolds. These two
  are surprisingly not the same object but they are related in a natural wa
 y.\n\nhttps://math-events.uni-bonn.de/event/475/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/475/
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