Differential Geometry Working Seminar

Aleksandar Milivojevic, Department of Pure Mathematics, University of Waterloo

"Formality and non-zero degree maps"

I will talk about a recent result with J. Stelzig and L. Zoller showing that formality is preserved under non-zero degree maps. Namely, if the domain of a non-zero degree map is formal, then so is the target. Some geometric applications are the formality of closed orientable manifolds with large first Betti number admitting a metric with non-negative Ricci curvature, and alternative proofs of the formality of positive quaternion-Kähler manifolds, and of singular complex varieties satisfying rational Poincaré duality. 

MC 5403