  This is an overview of our series of papers on the modular generalized
Springer correspondence. It is an expansion of a lecture given by the second
author in the Fifth Conference of the Tsinghua Sanya International Mathematics
Forum, Sanya, December 2014, as part of the Master Lecture `Algebraic Groups
and their Representations' Workshop honouring G. Lusztig. The material that has
not appeared in print before includes some discussion of the motivating idea of
modular character sheaves, and heuristic remarks about geometric functors of
parabolic induction and restriction.
