Given a partial differential equation (PDE), its solutions can be difficult, if not impossible, to compute. The purpose of the Fundamental theorem of differential tropical (partial) algebraic geometry is to extract from the equations certain properties of the solutions. More precisely, this theorem proves that the support of the solutions (in $k[[t1, \cdots, tm]]$ with $k$ a field of characteristic zero) of a system of algebraic PDE can be obtained by solving a so-called tropicalized differential system.
The Fundamental Theorem of Differential Tropical Algebraic Geometry
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Nom de l'orateur
Mercedes Haiech
Etablissement de l'orateur
IRMAR Rennes
Date et heure de l'exposé
Lieu de l'exposé
visioconférence