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Speaker:
E. Mezzetti, U. Trieste
Title:
Congruences of lines and systems of conservation laws
Abstract:
S.Agafonov and E.Ferapontov have introduced a construction that
allows one to associate naturally to every system of partial
differential equations of conservation laws a congruence of lines in
an appropriate projective space. In particular, to hyperbolic systems
of Temple type, there correspond congruences of lines that form a
planar pencil of lines. The language of Algebraic Geometry turns out
to be very natural in the study of these systems. In the talk, after
recalling the definition and the basic facts on congruences of lines,
I will illustrate the Agafonov-Ferapontov construction and some results of classification for the Temple systems.
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