Complex structures as homotopy algebras

Joan Milles (University of Toulouse)

Monday 3rd February, 2014 16:00-17:00 Maths 204


A complex structure is an 
almost complex structure which is 
integrable. A local description of such 
a structure reveals a lot of algebraic 
equations. Sergei Merkulov has studied 
the Nijenhuis integrability condition 
and he has proposed a simple 
interpretation of the equations 
characterizing Nijenhuis structures in 
terms of homotopy algebras. Following 
this attempt to define "homotopy 
geometry", we make use of the curved 
Koszul duality to describe complex 
structures as homotopy algebras.

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