This talk will be given by Jaimal Thind. Food will be served at 4:30pm in the graduate lounge on the 6th floor of Bahen!
Imagine that the surfaces in the picture on this poster are made of a very stretchable rubber. Without cutting, tearing or puncturing the surfaces, can you start with the surface on the top and turn it into the surface below it? Would you like to know how it’s possible? If so, this talk is for you!
In this interactive talk we will introduce some ideas related to surfaces and their generalizations (called manifolds), mostly focussed on dimensions 2 and 3. We will introduce the notion of a manifold, equivalence of manifolds, and look at examples and constructions in low dimension. The audience will have the opportunity to use models to understand the solution to the above problem, and some others like it.
We will put an emphasis on developing geometric intuition, so the only pre-requisite demanded is an open imagination. (Familiarity with the notion of continuity and basic geometry will help.)