Analysis learning seminar

Adam Dor On, Department of Pure Mathematics, University of Waterloo

“Manifolds, Real and Complex.”

We prove the polydisc version of Hartogs’ theorem as an application of the theory discussed so far. Next, we turn to some preliminaries on real manifolds where the main tool we will need is Stokes theorem. Time permitting, we shall begin our analysis of complex manifolds, which are real manifolds with additional complex structure.