Modular Character Sheaves on Reductive Lie Algebras

Mirković introduced the notion of character sheaves on a Lie algebra. Due to their simple geometric characterization, character sheaves on Lie algebras can be thought of as a simplified model for Lusztig’s theory of character sheaves on algebraic groups. We extend the theory to the case of modular coefficients. Along the way, we will reprove some of Mirković’s results and provide connections with the modular generalized Springer correspondence of Achar, Juteau, Riche, and Williamson.