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Friday, October 3, 2014

**Abstract:** Schubert calculus is an important class of geometric problems involving linear spaces meeting other fixed but general linear spaces. Problems in Schubert calculus can be modeled by systems of polynomial equations. Thus, we can use numerical methods to find the solutions to these geometrical problems. We present a Macaulay2 implementation of numerical algorithms that solve Schubert problems. These algorithms are based on the geometric Pieri and Littlewood-Richardson homotopies. We use our implementation to study Galois groups of Schubert problems. This work is partially joint with Anton Leykin and Frank Sottile.