Algebraic Realization of Complex Equivariant Vector Bundles Over the 2-Sphere

In January of 2014, I gave a short talk concerning my thesis topic at MSRI.

I have notes and slides, and you can watch the talk here. I start about 15 minutes into the video.

I started by giving a brief history of the problem including the Nash-Tognoli Theorem. I also review some of the major publications concerning the algebraic realization problem written by Prof. Heiner Dovermann and others.