Abstract: Abstract: The aim of this talk is to present the notion of holomorphic structure in noncommutative setting. Focusing on quantum projective line we will see that some of the classical structures have perfect analogues here. Also we shall explain a twisted positive Hochschild cocycle related to this complex structure.

Abstract: Let X be a hyperbolic Riemann surface and A be a closed subset of X. We study spaces of integrable, square-integrable and bounded holomorphic k-differentials on X-A. Our main results provide a description of the kernel of the Poincare series map. This is joint work with N. Askaripour.

Abstract: Group theory is the mathematical language of symmetry, and as such has many real world applications, ranging from the study of crystals to fundamental ideas about the workings of the universe. In this talk, we will introduce group theory and see how it is used to create a wonderful algorithm to solve Rubik's cube.

Everyone welcome!