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SUMMARY:Mikhail Sheftel
DTSTART:20201104T162000Z
DTEND:20201104T180000Z
DTSTAMP:20260423T024833Z
UID:GDEq/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/17/">No
 nlocal symmetry of CMA generates ASD Ricci-flat metric with no Killing vec
 tors</a>\nby Mikhail Sheftel as part of Geometry of differential equations
  seminar\n\n\nAbstract\nThe complex Monge-Ampère equation (CMA) in a two-
 component form is treated as a bi-Hamiltonian system. I present explicitly
  the first nonlocal symmetry flow in each of the two hierarchies of this s
 ystem. An invariant solution of CMA with respect to these nonlocal symmetr
 ies is constructed which\, being a noninvariant solution in the usual sens
 e\, does not undergo symmetry reduction in the number of independent varia
 bles. I also construct the corresponding 4-dimensional anti-self-dual (ASD
 ) Ricci-flat metric with either Euclidean or neutral signature. It admits 
 no Killing vectors which is one of characteristic features of the famous g
 ravitational instanton K3.\n
LOCATION:https://researchseminars.org/talk/GDEq/17/
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