XI Solomon Lefschetz memorial lecture series: Hodge structures in non-commutative geometry (Notes by Ernesto Lupercio) by M. Kontsevich Hopfish structure and modules over irrational rotation algebras by C. Blohmann, X. Tang, and A. Weinstein Deformations and quantizations, an introductory overview by D. Sternheimer SDYM and heavenly equations in deformation quantization by S. Formanski and M. Przanowski On a possible construction of noncommutative topological invariants by O. Obregon, C. Ramirez, and M. Sabido On coherent states for spaces of holomorphic functions related to the hydrogen atom problem in dimensions $n=2,3,5$ by D. Rojas-Sandoval and C. Villegas-Blas Noncommutativity from canonical and noncanonical structures by M. Rosenbaum, J. D. Vergara, and L. R. Juarez Commutative algebras of Toeplitz operators and Berezin quantization by N. Vasilevski.