Section: New Results
Symbolic-Numeric Analysis
Cubatures, and related problems, with symmetry
Participants : Mathieu Collowald, Evelyne Hubert.
We address the computation of cubature formulae as a moment problem. Symmetry by finite groups arise naturally for cubatures. We developed the algebraic results to use the symmetry in order to reduce the number of parameters and the size of the matrices involved in the flat extension.
Quantitative Equidistribution for the Solutions of Systems of Sparse Polynomial Equations
Participant : André Galligo.
For a system of Laurent polynomials
Joint work with Carlos D'Andrea (DM-UBA - Departamento de Matemática, Spain), Martin Sombra (ICREA & Universitat de Barcelona, Spain).