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Deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed.
While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-adic cohomology and group representations, presented in
Local Cohomology and Its Applications
Lecture Notes On Local Rings
Abelian l-Adic Representations and Elliptic Curves
Rings, Polynomials, and Modules
P-adic Aspects Of Modular Forms
Topics in Galois Theory
O-Minimality and Diophantine Geometry
Modular Representation Theory Of Finite And P-adic Groups
Polynomial Identities in Algebras
Algebra And Number Theory
Sheaves and Functions Modulo p
Number Theory: Plowing And Starring Through High Wave Forms - Proceedings Of The 7th China-japan Seminar