What Is... Seminar

Allen Knuston Cornell University
What is a symmetric polynomial?

Monday, March 20, 2017 - 5:30pm
Malott 207

A symmetric polynomial is one unchanged by permuting its variables, and it is a classic fact that the subring of such is itself, abstractly, a polynomial ring. I'll prove this and talk about Chevalley's theorem that provides a sort of converse, then move on to partially symmetric polynomials and in particular Schubert polynomials. This will bring us back to Schur polynomials, the best basis for the symmetric polynomials.