Notes on the geometric Satake equivalence

Pierre Baumann (1) , Simon Riche (2, 3)

1 IRMA - Institut de Recherche Mathématique Avancée
2 LMBP - Laboratoire de Mathématiques Blaise Pascal
3 UCA [2017-2020] - Université Clermont Auvergne [2017-2020]

These notes are devoted to a detailed exposition of the proof of the Geometric Satake Equivalence for general coefficients, following Mirkovic-Vilonen.

Domaines: Théorie des représentations [math.RT]

Pierre Baumann, Simon Riche. Notes on the geometric Satake equivalence. V. Heiermann, D. Prasad. Relative aspects in Representation Theory, Langlands Functoriality and Automorphic Forms, 2221, Springer, pp.1-134, 2018, Lecture Notes in Mathematics, 978-3-319-95230-7. ⟨10.1007/978-3-319-95231-4_1⟩. ⟨hal-01491529v3⟩