I will talk about the homotopy Gerstenhaber algebras describing the symmetries of 2d first order sigma models and their relation to the conformal invariance conditions (Beta-functions).
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/3946