Complex structures as homotopy algebras
Joan Milles (University of Toulouse)
Monday 3rd February, 2014 16:00-17:00 Maths 204
Abstract
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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