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SUMMARY:Maxim Grigoriev
DTSTART:20231129T162000Z
DTEND:20231129T180000Z
DTSTAMP:20260423T023010Z
UID:GDEq/102
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/102/">P
 resymplectic minimal models of local gauge theories</a>\nby Maxim Grigorie
 v as part of Geometry of differential equations seminar\n\nLecture held in
  room 303 of the Independent University of Moscow.\n\nAbstract\nWe describ
 e how the BV-AKSZ construction (or\, more generally\, finite dimensional s
 ymplectic gauge PDE) can be extended to generic local gauge field theories
  including non-topological and non-diffeomorphism-invariant ones. The mini
 mal formulation of this sort has a finite-dimensional target space which i
 s a pre Q-manifold equipped with a compatible presymplectic structure. The
  nilpotency condition for the homological vector field is replaced with a 
 presymplectic version of the classical BV master equation. Given such a pr
 esymplectic BV-AKSZ formulation\, it defines a standard jet-bundle BV form
 ulation by taking a symplectic quotient of the respective super jet-bundle
 . In other words all the information about the underlying PDE\, its Lagran
 gian\, and the corresponding BV formulation turns out to be encoded in the
  finite dimensional graded geometrical object. Standard examples include Y
 ang-Mills\, Einstein gravity\, conformal gravity etc.\n
LOCATION:https://researchseminars.org/talk/GDEq/102/
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