Algebraic Geometry Working Seminar

Anne Johnson, University of Waterloo

The Arc Space of the Grassmannian

We give a brief description of the arc space of a scheme and discuss a decomposition of the arc space of the Grassmanian given by Decampo and Nigro in 2016. To do so, we give just enough detail on Schubert calculus as is necessary to make sense of the decomposition. We present some of their related results on plane partitions and irreducibility and then discuss extensions of this work to flag varieties.

MC 5403