Matthew Beckett, Department of Pure Mathematics, University of Waterloo
“The exterior derivative, integration, and Stokes’ Theorem”
We continue our discussion of differentiable manifolds by talking about the exterior derivative and how to integrate n-forms. We will then prove Stokes’ Theorem which is a generalization of the Fundamental Theorem of Calculus. Time permitting, we will begin to talk about Riemannian and Hermitian structures on manifolds.