Title: Nachman's Inverse Conductivity Result

Abstract: In his 1996 paper, Nachman addressed the inverse conductivity problem in two dimensions.  If the electrical conductivity γ ∈ W^{2, p}(ℝ²)​ and is bounded below, then it is uniquely determined by its corresponding Dirichlet-to-Neumann operator Λ_γ​.  The proof of this result is constructive, involving the scattering problem for the Schrodinger equation at zero energy.  In this talk, we will give an overview of Nachman's approach.