Schubert varieties under a microscope -- Sara Billey

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Schubert varieties in both the Grassmannian and the complete flag
variety are very well understood objects.  However, new results
continue to emerge as we look carefully at their structure in ever
finer detail.  In this talk, we will discuss some of the nice
properties of Schubert varieties that are determined by combinatorial
data.  We will outline a concrete approach to computing with Schubert
varieties and discuss the tools of pattern avoidance, the Bruhat
graph, the Bruhat poset, and  permutation arrays.