Geometric structures, Gromov norm and Kodaira dimensions (Weiyi Zhang, University of Warwick)

10.04.2018 10:30

Kodaira dimension provides a very successful classification scheme for complex manifolds. The notion was extended to symplectic 4-manifolds. In this talk, we will define the Kodaira dimension for 3-manifolds through Thurston’s eight geometries. It is compatible with the mapping order and other Kodaira dimensions in the sense of “additivity”. This idea could be extended to 4-dimensional geometric manifolds. Those with highest Kodaira dimension are distinguished by nonvanishing Gromov norm. We will see how it is sitting in a potential classification of 4-manifolds. If time allows, I will discuss recent extension of the Kodaira dimension to almost complex manifolds.


Room 623, Séminaire "Groupes et Géométrie"

Organisé par

Section de mathématiques


Weiyi Zhang, University of Warwick

entrée libre


Catégorie: Séminaire

Mots clés: groupes et géométrie