Analysis learning seminar

Tyrone Ghaswala, Department of Pure Mathematics, University of Waterloo

“The Importance of Being Analytic - A play in several complex variables”

Following Cam’s scintillating introduction, we will prove that every holomorphic function is analytic, and every analytic function is holomorphic. We will then show some extremely nice and desirable properties about differentiating such a function.

We’ll finish by proving several variable versions of the identity theorem and the maximum modulus theorem. Time permitting we will begin our journey towards our next stop which is to prove that the polydisc is not biholomorphic to the unit ball in several variables.