Kawamata proved a foundamental result on the Albanese morphism of varieties of Kodaira dimension 0. We will talk about the Albanese morphism of varieties with small plurigenera.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/158