Deformations of the small disks operad

Following Willwacher and Tamarkin, I'll rewiev connections between the deformation complex of the small disks operad, Grothendieck-Teichmuller Lie algebra, and Kontsevich's graph-complex. See: Thomas Willwacher "M. Kontsevich's graph complex and the Grothendieck-Teichmueller Lie algebra" // math.arXiv: 1009.1654