An introduction to affine Grassmannians and the geometric Satake equivalence

By Xinwen Zhu. 2016

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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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/993508c8a16ccd15756c2f72383160faf195dfa1