Graduate Student Colloquium: Lee Kennard (UCSB), 'Vector fields on spheres'

Event Date: 

Thursday, April 10, 2014 - 3:30pm to 4:30pm

Event Location: 

  • 6635 South Hall

Event Contact: 

Daryl Cooper


A classical problem in geometry is to find out whether a sphere admits a vector field that is nonzero at every point. The answer is "yes" if and only if the dimension of the sphere is odd. I will discuss this result, give an overview of the general problem of counting linearly independent vector fields on spheres, and survey some of the tools that go into the solution.