Title: Localized representation of eigenspaces via convex optimization

Abstract:

Wannier functions, which are localized representation of the low lying eigenspace of Hamiltonian operators, play an important role in

electronic structure theory. They give nice physical representation of the electronic structure and are fundamental building blocks of linear

scaling algorithms. In this talk, we will discuss a convex variational principle that gives us these localized representations. The convex

variational principle makes possible efficient numerical algorithms to find the solutions.