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Kähler manifolds are not so formal

Giovanni Placini, Università degli Studi di Cagliari

(seminario del ciclo Seminari di Geometria Differenziale e Topologia)

Aula B, ore 17:00 Palazzo delle Scienze

Abstract:  Rational formality is a well known property of Kähler 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 present both of these notions of formality and provide examples of non-formal projective manifolds. To this end, we will discuss rational and bigraded homotopy theory and formality. We will then define obstructions to formality and present a large class of projective manifolds on which these are non-trivial.