Coloquio del CIEM – Andrei Moroianu

Viernes 24 de octubre, 11hs. Aula 27

Título: «Stably complex homogeneous spaces»

Resúmen:  A real vector bundle over a smooth manifold is called complex if it is isomorphic to the underlying real bundle of a complex vector bundle (after «forgetting» the complex structure) and stably complex if it becomes complex after taking the direct sum with a trivial vector bundle. A smooth manifold M is called almost complex if its tangent bundle TM is complex, and stably complex if TM is stably complex. In this talk I will describe the classification (joint with P. Gauduchon and U. Semmelmann) of stably complex compact homogeneous spaces with non-vanishing Euler characteristic.