Kostant section, universal centralizer, and a modular derived Satake equivalence

Simon Riche (1, 2)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 INSMI-CNRS - Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques

We prove analogues of fundamental results of Kostant on the universal centralizer of a connected reductive algebraic group for algebraically closed fields of positive characteristic (with mild assumptions), and for integral coefficients. As an application, we use these results to obtain a "mixed modular" analogue of the derived Satake equivalence of Bezrukavnikov-Finkelberg.

Domaines: Mathématiques [math]

Simon Riche. Kostant section, universal centralizer, and a modular derived Satake equivalence. Mathematische Zeitschrift, 2017, 286, pp.223-261. ⟨hal-01081988v4⟩