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SUMMARY:Eugene Ferapontov (Loughborough University)
DTSTART:20210505T162000Z
DTEND:20210505T180000Z
DTSTAMP:20260423T010250Z
UID:GDEq/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/38/">Se
 cond-order PDEs in 3D with Einstein-Weyl conformal structure</a>\nby Eugen
 e Ferapontov (Loughborough University) as part of Geometry of differential
  equations seminar\n\n\nAbstract\nI will discuss a general class of second
 -order PDEs in 3D whose characteristic conformal structure satisfies the E
 instein-Weyl conditions on every solution.\n\nThis property is known to be
  equivalent to the existence of a dispersionless Lax pair\, as well as to 
 other equivalent definitions of dispersionless integrability.\n\nI will de
 monstrate that (a) the Einstein-Weyl conditions can be viewed as an effici
 ent contact-invariant test of dispersionless integrability\, (b) show some
  partial classification results\, and (c) formulate a rigidity conjecture 
 according to which any second-order PDE with Einstein-Weyl conformal struc
 ture can be reduced to a dispersionless Hirota form via a suitable contact
  transformation.\n\nBased on joint work with S. Berjawi\, B. Kruglikov\, V
 . Novikov.\n
LOCATION:https://researchseminars.org/talk/GDEq/38/
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