The generalized Kähler geometry of hyper-Kähler manifolds.

-
Vestislav Apostolov, Université du Québec à Montréal

In this talk I will discuss an analogue of the celebrated Yau theorem,Ìý in the context of the generalized K\"ahler geometry introduced by Gates-Hull-Roceck and Hitchin and Gualtieri. The main analytical tool is the so-called generalized K\"ahlerÌý Ricci flow,Ìý introduced and studied by Tian--Streets. This is a joint work with J. Streets.