G-convergence and homogenization of elliptic operators
Alexander Pankov

Abstract: The talk concerns G-convergence theory of elliptic operators. This is a powerful tool in studying many problems such as homogenization and optimal design. We discuss basics of the theory in the case of linear elliptic operators as well as applications to homogenization of highly oscillating elliptic equations in periodic setting. We also touch upon some further developments such as nonlinear operators and random homogenization.