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An introduction to affine Grassmannians and the geometric Satake equivalence

We introduce various affine Grassmannians, study their geometric properties, and give some applications. We also discuss the geometric Satake equivalence. These are the expanded lecture notes for a mini-course in 2015 PCMI summer school. References updated and more details added.

preprint2016arXivOpen access
Xinwen Zhu
math.RTmath.AG
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Xinwen Zhu

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