Séminaire de topologie, géométrie et algèbre

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Tropical geometry around Lagrangian submanifolds

Nom de l'orateur
Grigory Mikhalkin
Etablissement de l'orateur
Université de Genève
Lieu de l'exposé
Date et heure de l'exposé

Given a closed symplectic manifold X, and a differentiable manifold L, can we embed L into X as a Lagrangian submanifold? This central question in Symplectic Geometry is far from being resolved. According to the Symplectic Field Theory approach (as proposed by Eliashberg, Givental and Hofer about 20 years ago) if L is embeddable to X then enumerative invariants of TL-L and X must be compatible. If L is a real torus then TL coincides with (C*)^n and its enumerative geometry is described by the tropical geometry in R^n.