A New Approach to the Geometric Satake Equivalence

I give another proof of the geometric Satake equivalence from I. Mirkovic and K. Vilonen \cite{MV} over a separably closed field. Over a not necessarily separably closed field, I obtain a canonical construction of the Galois form of the full $L$-group.

2010 Mathematics Subject Classification: 14M15, 20G05

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