Coinvariants and superspace - Andy Wilson

Thursday, January 12, 2023 1:00 pm - 1:00 pm EST (GMT -05:00)

Title: Coinvariants and superspace

Speaker: Andy Wilson
Affiliation: Kennesaw State University
Location: MC 6029 or contact Olya Mandelshtam for Zoom link 

Abstract: The ring of multivariate polynomials carries a natural action of the symmetric group. Quotienting by the ideal generated by the polynomials which are invariant under this action yields the "coinvariant algebra," an object with many beautiful algebraic and combinatorial properties. We will survey these properties and then discuss recent generalizations where the multivariate polynomials may contain anti-commuting ("superspace") variables. This talk is based on joint work with Brendon Rhoades.