Non-unipotent Character Sheaves as a Categorical Centre

Abstract

Let G be a reductive connected group over an algebraic closure of finite field. In this paper we give the classification of character sheaves on G in categorical terms (as a categorical centre). Previously such a classification was known for unipotent character sheaves and in the case where the ground field is replaced by the complex numbers. KEYWORDS: reductive group, character sheaf, flag manifold, local system