Seminar | February 5 | 12-1 p.m. | 939 Evans Hall
Elizabeth Ferme, UC Berkeley
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.