# Manchester Geometry Seminar 2012/2013

EXTRA MEETING: Tuesday 11 December 2012. The Frank Adams Room (Room 1.212), the Alan Turing Building. 1pm

## The Dirichlet-to-Neumann Map for Differential Forms Clayton Shonkwiler (University of Georgia)

clayton@math.uga.edu

The classical Dirichlet-to-Neumann map is an operator on functions on the boundary of a Riemannian manifold which arises in the problem of Electrical Impedance Tomography. I will discuss a generalization of this operator to differential forms which synthesizes all previous approaches and describe how it can be used to recover geometric and topological information about the manifold. This is joint work with Vladimir Sharafutdinov.