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SUMMARY:Evgeny Ferapontov (Loughborough University)
DTSTART:20251217T162000Z
DTEND:20251217T180000Z
DTSTAMP:20260423T024833Z
UID:GDEq/146
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/146/">I
 nvolutive scroll structures on solutions of 4D dispersionless integrable h
 ierarchies</a>\nby Evgeny Ferapontov (Loughborough University) as part of 
 Geometry of differential equations seminar\n\n\nAbstract\nA rational norma
 l scroll structure on an (n+1)-dimensional  manifold M is defined as a fi
 eld of rational normal scrolls of degree n-1 in the projectivised cotangen
 t bundle $PT^*M$.\n\nWe show that geometry of this kind naturally arises o
 n solutions  of various 4D dispersionless integrable hierarchies of  hea
 venly type equations. In this context\, rational normal scrolls  coincide
  with the characteristic varieties (principal symbols) of the hierarchy. F
 urthermore\, such structures automatically satisfy an additional property 
 of involutivity.\n\nOur main result states that involutive scroll structur
 es are themselves  governed by a dispersionless integrable hierarchy\, na
 mely\, the hierarchy of conformal self-duality equations.\n\nBased on join
 t work with Boris Kruglikov.\n
LOCATION:https://researchseminars.org/talk/GDEq/146/
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