Jianfeng Lu, Duke
Title: Localized representation of eigenspaces via convex optimization

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.