I will discuss division algebras and prove that if R^n is a division algebra then n is a power of 2. I will give an overview of the numerous beautiful results on the nonexistence of real division algebras and elements of Hopf invariant, one due to Adams, Atiyah and Toda among others.
Graduate Student Geometry-Topology Seminar
Wednesday, December 5, 2007 - 12:00pm
John Olsen
University of Pennsylvania