2 sep 2016 -- 11:15
IMPA, Rio de Janeiro, Brazil
We study cohomological properties of compact non-K\"ahler manifolds, and we investigate the existence of special metrics. For example, we can consider the existence of Hermitian metrics in a conformal class with the property of having constant scalar curvature with respect to the Chern connection. (Note that the Chern Ricci form defines a class in Bott-Chern cohomology.) The problem can be solved at least in the case of non-negative Kodaira dimension.