Differential Geometry Working Seminar

Lucia Martin Merchan, Department of Pure Mathematics, University of Waterloo

"Hodge decomposition for Nearly Kähler manifolds"

Verbitsky proved that Nearly Kähler 6-dimensional manifolds satisfy Kähler-type identities. These lead to a Hodge decomposition in the compact case, and restrictions on their Hodge numbers. In this talk, we discuss a new proof for most of these results that is independent of the dimension. This is work in progress with Spiro, Michael and Aleks.

MC 5403