- Thursday, November 12, 2015
- 3:40 PM–4:30 PM
- North Hall 276
Daiwei Zhang, Mathematics Major, Calvin College
If you are given a disk made of infinitely stretchable rubber, and the only operation you are allowed to do is gluing its edge, what kind of surfaces do you think you can make? Then answer is: All the surfaces! This is the essence of the idea of cell complexes, i.e. a construction of a manifold by gluing a ball to a union of spheres. In this talk, we will explore some basic notions in algebraic topology, such as cell complexes and homotopy. At the end, I will present the result of my summer research, which involves a categorical classification of highly connected 2n-manifolds using algebraic tools such as Pi-algebras and Hilton basis.
Refreshments precede the talk at 3:30pm in NH-282.