Mathematics Colloquia and Seminars
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Interpolation problems and birational geometryAlgebra & Discrete Mathematics
I will give a brief overview on Interpolation Problems, a broad area of
mathematics whose origin goes back to the beginning of Algebraic
I will present the general setting and our contribution to this field
We study linear systems of hypersurfaces of a fixed degree passing
a collection of points in general position with assigned multiplicities.
We are interested in the dimension of such linear systems.
I will explain the Cremona action on r-cycles of the blown up projective
space via birational geometry and give applications of this construction
interpolation problems. I will present connections of this
problem to Gromov-Witten theory. Results in this talk are obtained in
collaboration with M.C. Brambilla, R. Miranda and E. Postinghel.