November 2: Spheres, Donuts and Bottles: An Introduction to The Classification Theorem of Surfaces

Abstract: Mathematicians love to classify mathematical structures in order to understand them better. In this presentation, I will take you on a journey through the World of Surfaces and prove their classification. We will see many examples of Surfaces, such as the one-sided Mobius Strip, the Torus, and the Klein Bottle, a bizarre surface that cannot be embedded in 3-dimensional space. We will also cover how to construct surfaces easily and conveniently using surgery, and prove that all surfaces (that fulfill certain conditions) can be constructed from such surgery. I hope you are excited as I am to delve into the wonderful world of Topology!

No prior knowledge of Topology is needed.

#mtbos #topology #seminar #torus #graphtheory