Originally motivated by physics, mathematically a quantization of a Poisson variety X is simply a formal 1-parameter deformation of its sheaf of functions that in the first approximation agrees with the Poisson bracket. In the algebraic context such quantizations tend not to exist globally due to a possible non-vanishing of cohomology of relevant coherent sheaves. It was observed by Kontsevich that in the algebraic context it might in fact be more natural to consider formal deformations of the category QCoh(X) rather than the sheaf of algebras O_X. I will talk about joint work with Bogdanova, Travkin and Vologodsky where, building on the work of Bezrukavnikov and Kaledin, we construct a canonical such categorical quantization for symplectic varieties in char p. An interesting feature of char p is that this quantization in fact naturally extends from the formal disk to a family of categories over P^1 which carries strong resemblance with the Simpson’s twistor space picture.