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SUMMARY:Jean-Pierre Magnot
DTSTART:20221123T162000Z
DTEND:20221123T180000Z
DTSTAMP:20260423T010235Z
UID:GDEq/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/75/">Ne
 w perspectives for generalized Kadomtsev-Petviashvili hierarchies</a>\nby 
 Jean-Pierre Magnot as part of Geometry of differential equations seminar\n
 \n\nAbstract\nIn the setting of diffeological differential algebras\, we f
 irst expose step by step how the classical algebraic construction of the s
 olution of the (classical) Kadomtsev-Petviashvili hierarchy can be extende
 d in order to get well-posedness for Kadomtsev-Petviashvili hierarchies in
  this generalized setting. Of course\, we give a short exposition of the n
 ecessary notions in diffeologies for non-specialists of this topic.\n\nThe
 n\, we discuss the Hamiltonian formulation in a refreshed way. Finally\, w
 e deduce the corresponding Kadomtsev-Petviashvili equations\, first in an 
 abstract formulation\, and in a series of examples.\n\nReferences:</br>\n<
 a href="https://arxiv.org/abs/1007.3543">arXiv:1007.3543</a></br>\n<a href
 ="https://dx.doi.org/10.1080/14029251.2017.1418057">https://dx.doi.org/10.
 1080/14029251.2017.1418057</a></br>\n<a href="https://arxiv.org/abs/1608.0
 3994">arXiv:1608.03994</a></br>\n<a href="https://arxiv.org/abs/2101.04523
 ">arXiv:2101.04523</a>\, <a href="http://mi.mathnet.ru/eng/tmf10046">Mi tm
 f10046</a></br>\n<a href="https://arxiv.org/abs/2203.07062">arXiv:2203.070
 62</a></br>\n<a href="https://arxiv.org/abs/2212.07583">arXiv:2212.07583</
 a>\n
LOCATION:https://researchseminars.org/talk/GDEq/75/
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