Vector Fields on Spheres

Geometry Topology Student Seminar
Friday, February 20, 2015 - 2:05pm
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech

This is a project for Prof. Wickelgren's course on Stable Homotopy Theory.

In this talk, I will show using Clifford algebras that there are ρ(n)-1 linearly independent vector fields on the unit sphere in the n dimensional Euclidean space, where ρ(n) is the Radon-Hurwitz number.