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SUMMARY:Maxim Grigoriev
DTSTART:20240522T162000Z
DTEND:20240522T180000Z
DTSTAMP:20260423T041502Z
UID:GDEq/113
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/113/">G
 auge PDEs on manifolds with boundaries and asymptotic symmetries</a>\nby M
 axim Grigoriev as part of Geometry of differential equations seminar\n\n\n
 Abstract\nWe propose a framework to study local gauge theories on manifold
 s with boundaries and their asymptotic symmetries\, which is based on repr
 esenting them as so-called gauge PDEs. These objects extend the convention
 al BV-AKSZ sigma-models to the case of not necessarily topological and dif
 feomorphism invariant systems and are known to behave well when restricted
  to submanifolds and boundaries. We introduce the notion of gauge PDE with
  boundaries\, which takes into account generic boundary conditions\, and a
 pply the framework to asymptotically flat gravity. In so doing\, we start 
 with a suitable representation of gravity as a gauge PDE with boundaries\,
  which implements the Penrose description of asymptotically simple spaceti
 mes. We then derive the minimal model of the gauge PDE induced on the boun
 dary and observe that it provides the Cartan (frame-like) description of a
  (curved) conformal Carollian structure on the boundary. Furthermore\, imp
 osing a version of the familiar boundary conditions in the induced boundar
 y gauge PDE\, leads immediately to the conventional BMS algebra of asympto
 tic symmetries.\n\nMore references: <a href="https://arxiv.org/abs/2212.11
 350">arXiv:2212.11350</a>\;\n<a href="https://arxiv.org/abs/1207.3439">arX
 iv:1207.3439</a>\, <a href="https://arxiv.org/abs/1305.0162">arXiv:1305.01
 62</a>\, <a href="https://arxiv.org/abs/1903.02820">arXiv:1903.02820</a>\,
  <a href="https://arxiv.org/abs/1009.0190">arXiv:1009.0190</a>\n
LOCATION:https://researchseminars.org/talk/GDEq/113/
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