BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Raffaele Vitolo (Università del Salento)
DTSTART:20221019T162000Z
DTEND:20221019T180000Z
DTSTAMP:20260423T024833Z
UID:GDEq/70
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/70/">Ho
 mogeneous Hamiltonian operators\, projective geometry and integrable syste
 ms</a>\nby Raffaele Vitolo (Università del Salento) as part of Geometry o
 f differential equations seminar\n\n\nAbstract\nFirst-order homogeneous Ha
 miltonian operators play a central role in the Hamiltonian formulation of 
 quasilinear systems of PDEs. They have well-known differential-geometric i
 nvariance properties which find application in the theory of Frobenius man
 ifolds. In this talk we will show that second and third order homogeneous 
 Hamiltonian operators are invariant under reciprocal transformations of pr
 ojective type\, thus allowing for a projective classification of the opera
 tors. Then\, we will describe how the above operators generate known and n
 ew integrable systems\, and discuss the invariance properties of the syste
 ms under projective transformations.\n
LOCATION:https://researchseminars.org/talk/GDEq/70/
END:VEVENT
END:VCALENDAR