PIMS PDF Colloquium: Andrew Berget

Many interesting and familiar varieties are collections of matrices. Two of the most familiar are the determinantal varieties and the matrix Schubert varieties. Often, these varieties are stable under the row operations of linear algebra. This talk will be about such varieties, specifically the equivariant K-theory classes of such varieties. Familiar combinatorial objects show up here, such as Schur polynomials and matroids. After giving a lengthy overview, I will move towards discussing the "shape" of the K-class of a variety. No background material will be assumed.