Event description
Abstract: Explicit computations of Kodaira dimension of almost complex manifolds are usually a hard task. However, if an almost complex structure admits an associated SU(m)-structure, we can use the triviality of its canonical bundle to facilitate us. After briefly introducing SU(m)-structures, I will present two constructions that allow to build non-invariant almost complex structures on compact quotients of a special class of Lie groups, and to compute their Kodaira dimension. The constructions apply to several well-studied examples in the literature, like complex parallelizable Lie groups, complex structures of splitting type and certain manifolds without invariant complex structures. This is joint work with A. Tomassini.