Combinatorics Seminar: Singular loci of Schur hypersurfaces

Seminar | February 5 | 12-1 p.m. | 939 Evans Hall

 Elizabeth Ferme, UC Berkeley

 Department of Mathematics

Schur polynomials are important objects in algebraic combinatorics, as they form an orthonormal basis for the vector space of symmetric polynomials. We study Schur hypersurfaces, the zero set of Schur polynomials in projective space. In particular, we focus on the points where these hypersurfaces are singular. I will present results regarding when this structure is simple, walk through an example decomposition, and discuss the conjectures I am currently investigating.