Recent developments in the theory of hyperfine interaction between the
nuclear spins and the spins of two dimensional electrons under strong
magnetic held and its relevance to the rapidly growing experimental a
ctivity in this held is discussed. The crucial role of electron correl
ations on the nuclear spin-lattice relaxation time and on nuclear spin
diffusion is described in the formalism where the elementary excitati
ons ale the spin-excitons and skyrmions.