Algebra/Topology seminar

Speaker: Joan Bellier-Millès (Toulouse)

Title: Complex structures and homotopy algebras

Abstract: A complex manifold is a smooth real manifold endowed with an almost complex structure which is integrable. A local description of such a structure reveals a lot of algebraic equations. We will explain in this talk how the curved Koszul duality of operads enable us to provide a simple interpretation of these algebraic equations in terms of homotopy algebras.