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SUMMARY:Sergey Agafonov
DTSTART:20220209T162000Z
DTEND:20220209T180000Z
DTSTAMP:20260423T023019Z
UID:GDEq/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/56/">Da
 rboux integrability for diagonal systems of hydrodynamic type</a>\nby Serg
 ey Agafonov as part of Geometry of differential equations seminar\n\nLectu
 re held in room 303 of the Independent University of Moscow.\n\nAbstract\n
 We prove that diagonal systems of hydrodynamic type are Darboux integrable
  if and only if the Laplace transformation sequences of the system for com
 muting flows terminate\, give geometric interpretation for Darboux integra
 bility of such systems in terms of congruences of lines and in terms of so
 lution orbits with respect to symmetry subalgebras\, show that Darboux int
 egrable systems are necessarily semihamiltonian\, and discuss known and ne
 w examples.\n
LOCATION:https://researchseminars.org/talk/GDEq/56/
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