Séminaire joint entre l'université Paris Saclay et Nantes université - Spécialisé en géometrie symplectique et de contact
The topology of rationally and polynomially convex domains
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Nom de l'orateur
Kai Cieliebak
Etablissement de l'orateur
Université d'Augsburg
Date et heure de l'exposé
Lieu de l'exposé
Salle des séminaires
Rationally and polynomially convex domains in $\C^n$ are fundamental objects of study in the theory of functions of several complex variables. After defining and illustrating these notions, I will explain joint work with Y.Eliashberg giving a complete characterization of the possible topologies of such domains in complex dimension at least three. The proofs are based on recent progress in symplectic topology, most notably the h-principles for loose Legendrian knots and Lagrangian caps.