  This article has two parallel perspectives: to demonstrate an inductive
structure of Shalika germs, and to show an analogous inductive structure for
affine Springer fibers. More precisely, we give an algorithm to compute
arbitrary Shalika germs (resp. affine Springer fibers up to stratification) in
terms of three ingredients: Shalika germs (resp. affine Springer fibers) for
twisted Levi subgroups, a finite list of combinatorial objects, and the numbers
of rational points on varieties over the residue field (resp. varieties
themselves) among an explicit finite list of such. We also discuss some formal
applications of the algorithm to Shalika germs and orbital integrals.
