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SUMMARY:Dmitry Rudinsky
DTSTART:20250226T162000Z
DTEND:20250226T180000Z
DTSTAMP:20260423T010457Z
UID:GDEq/126
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/126/">W
 eak gauge PDEs</a>\nby Dmitry Rudinsky as part of Geometry of differential
  equations seminar\n\nLecture held in room 303 of the Independent Universi
 ty of Moscow.\n\nAbstract\nGauge PDEs are flexible graded geometrical obje
 cts that generalise AKSZ sigma models to the case of local gauge theories.
  However\, aside from specific cases - such as PDEs of finite type or topo
 logical field theories - gauge PDEs are inherently infinite-dimensional. I
 t turns out that these objects can be replaced by finite dimensional objec
 ts called weak gauge PDEs. Weak gauge PDEs are equipped with a vertical in
 volutive distribution satisfying certain properties\, and the nilpotency c
 ondition for the homological vector field is relaxed so that it holds modu
 lo this distribution. Moreover\, given a weak gauge PDE\, it induces a sta
 ndard jet-bundle BV formulation at the level of equations of motion. In ot
 her words\, all the information about PDE and its corresponding BV formula
 tion turns out to be encoded in the finite-dimensional graded geometrical 
 object. Examples include scalar field theory and self-dual Yang-Mills theo
 ry.\n
LOCATION:https://researchseminars.org/talk/GDEq/126/
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