k-Schur Functions and Affine Schubert Calculus
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k-Schur Functions and Affine Schubert Calculus

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http://arxiv.org/abs/1301.3569
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Abstract

This book is an exposition of the current state of research of affine Schubert calculus and $k$-Schur functions. This text is based on a series of lectures given at a workshop titled "Affine Schubert Calculus" that took place in July 2010 at the Fields Institute in Toronto, Ontario. The story of this research is told in three parts: 1. Primer on $k$-Schur Functions 2. Stanley symmetric functions and Peterson algebras 3. Affine Schubert calculus

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