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.

Lieu

Room 623, Séminaire "Groupes et Géométrie"

entrée libre