Event Type:

Number Theory Seminar

Date/Time:

Tuesday, February 9, 2016 - 16:00 to 17:00

Location:

Gilkey 115

Local Speaker:

Abstract:

There are only 4 division algebras, namely the reals, complexes,

quaternions, and octonions. After constructing the octonions and

discussing their basic properties, I will discuss the remarkable role of

the division algebras in several classification schemes: There are 4

Hopf maps, there are 4 dimensions in which classical supersymmetry is

possible, and all symmetry groups (Lie groups) are locally isomorphic to

matrix groups over one of the 4 division algebras.