Geometrical aspects of infinite dimensional and discrete Integrable systems;
; Pentagram and associated maps; Discrete moving frames and invariants; Poisson geometry;
Adler-Gel'fand-Dikii brackets; Differential Invariants and Invariant Differential and difference evolutions, specially their
relationship with infinite and discrete Hamiltonians; Moving frames and discrete moving frames, and applications;
Projective and parabolic Geometry; Applications to image processing; Mathematics and applications in general.
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