Discretization of complex analysis Sergei P. Novikov Steklov Mathematical Institute, Moscow, Russia e-mail: snovikov@mi.ras.ru A new approach to the discretization of complex analysis has been developed in a series of papers by the author and I. A. Dynnikov during several years. Triangular lattices appear to possess several remarkable properties that are not satisfied for a usual quadrilateral lattice. We have also developed a new method for the discretization of differential geometric connections on simplicial polyhedra.