Event description
Abstract:
Rational formality is a well known property of Kähler manifolds or, more generally, ∂∂ ̄-manifolds. Notably, the known proofs of formality of Kähler manifolds do not translate in the analogous holomorphic setting: bigraded homotopy theory. The goal of this talk is to discuss these notions of formality and provide examples of non-formal projective manifolds. To this end, we will show that certain higher cohomology operations (ABC-Massey products) are generally non-trivial on projective manifolds.
This talk is based on a joint work with Jonas Stelzig and Leopold Zoller.