College of Liberal Arts & Sciences

# Graduate & Undergraduate Student Seminar (GAUSS)

Speaker:

Jeremy Edison

Topic:

"Real Division Algebras Aren't All That Complex"

**Abstract: **In this talk we will state and sketch a proof of the Frobenius Theorem, which provides a classification of all of the finite dimensional real division algebras, and the list is shorter than you might expect! Along the way we'll define what exactly a real division algebra is, and we'll also encounter some famous results, including the Fundamental Theorem of Algebra and the Cayley-Hamilton Theorem. The talk will be self contained, so anyone with a basic knowledge of linear algebra (vector spaces and linear transformations) should be able to follow along.

Event Date:

September 13, 2017 - 3:30pm to 4:30pm

Location:

75 SH

Calendar Category:

Seminar