12 nov 2014 -- 15:00
Aula C, Palazzo Campana, Torino
Differential Geometry Seminars at Università di Torino
Abstract.
Given a differential manifold $M$, the existence of a complex structure induces a bigraduation in the space of differential forms. Therefore, one would like to study when this decomposition moves to cohomology. This is already known when $M$ is K\"ahler, due to the Hodge decompostion theorem, and also when its dimension is 4, as proved by Draghici, Li, and Zhang. In this talk, we will recall some recent results about the topic and present our contribution to it, based on the behaviour of 6-dimensional nilmanifolds.