Geometria em Lisboa

28 May 2002, 17h00

Odd dimensional almost complex geometry
Anfiteatro do Complexo Interdisciplinar da UL

David Martínez (Universidad Carlos III de Madrid)

Resumo:

Approximately holomorphic techniques were introduced by Donaldson to prove the existence of symplectic submanifolds in compact symplectic manifolds. Further generalizations led to different constructions as Lefschetz pencils (Donaldson), normal forms for maps to $CP^2$ (Auroux), embeddings to $CP^N$ (Muñoz, Presas, Sols). Here we will present a joint work (Ibort, Martínez-Torres, Presas) that extends some of the known results for symplectic manifolds to its odd dimensional counterparts.

| back