Title: Proving the symmetric function theorem using the chain rule

Abstract: The symmetric function theorem states that any symmetric function can be written as some function in the “elementary” symmetric functions. For example, in two variables, x^2+2xy+y^2 is symmetric, and it equals (x+y)^2, where x+y is the first elementary function in two variables. I will discuss a classical proof of this theorem, and then prove it again by brute force using the chain rule for any order derivative in any number of variables.

Coffee available 5pm in Hamilton Hall – 216 (Lounge)