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SUMMARY:Raffaele Vitolo (Università del Salento)
DTSTART:20251015T162000Z
DTEND:20251015T180000Z
DTSTAMP:20260423T023010Z
UID:GDEq/141
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/141/">O
 n the geometry of WDVV equations and their Hamiltonian formalism in arbitr
 ary dimension</a>\nby Raffaele Vitolo (Università del Salento) as part of
  Geometry of differential equations seminar\n\n\nAbstract\nIt is known tha
 t in low dimensions WDVV equations can be rewritten as commuting quasiline
 ar bi-Hamiltonian systems. We extend some of these results to arbitrary di
 mension N and arbitrary scalar product $\\eta$. In particular\, we show th
 at WDVV equations can be interpreted as a set of linear line congruences i
 n suitable Plücker embeddings. This form leads to their representation as
  Hamiltonian systems of conservation laws. Moreover\, we show that in low 
 dimensions and for an arbitrary $\\eta$ WDVV equations can be reduced to p
 assive orthonomic form. This leads to the commutativity of the Hamiltonian
  systems of conservation laws. We conjecture that such a result holds in a
 ll dimensions.\n
LOCATION:https://researchseminars.org/talk/GDEq/141/
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