On complex geometry of some non-Kahler manifolds

Thursday, September 25, 2014 -
12:30pm to 1:30pm
In the talk we discuss a construction of a large family of complex manifolds. This family includes Hopf and Calabi-Eckmann manifolds. Although the question whether a given differentiable manifold admits a complex structure is extremely hard, our construction completely answers it in the case of manifolds with "large" group of U(1)^m-symmetries. We discuss several very basic geometric characteristics  of these manifolds including Dolbeault cohomology and field of meromorphic functions.
Speaker: 
Yury Ustinovskiy
Princeton University
Event Location: 
Fine Hall 314