Geometry of moduli spaces of mathematical and symplectic instntons

Mathematical instantons constitute one of the important and intensively studied classes ofvector bundles on projective space. Their natural generalization to higher rank bundles are symplectic instntons. The aim of my talk is to give a review of main results on the moduli spaces of mathematical and symplectic instantons and to describe a number of constructions such as monads, nets of quadrics, special determinantal varieties, used in the theory of instanton bundles.