Mondays [and someone other day not Tuesday or Thursday] a few of us will meet to discuss Clifford algebras, spin geometry, and general relativity. The first meeting is tonight at 8pm, in the 4th floor math lounge of the Science Center. From there we will move to a more permanent room [once we determine which are availible].

Once in said room, I’ll begin with quadratic spaces, their associated Clifford algebras, perhaps the existence of the universal Clifford algebra, and, if time permits, a careful discussion of the low dimension examples and introduction of Spin(n), n=2,3,4, as a natural subgroup.

Spinor and rotor spaces play an important part of physics, or, at least in my thesis, and an even greater part in geometry. Dirac first employed spinor techniques to linearize the Klein-Gordon equation (or something like that), exploiting the “square root” nature of spinors. Learn more about this amazing double-covering of SO(n)!

If not, that’s okay, too. That is, if you want to live the rest of your life with regret.