A standard observation in algebraic geometry and number theory is that a ramified cover of an algebraic variety X̃ → X over a finite field Fq furnishes the rational points x ∈ X(Fq) with additional arithmetic structure: the Frobenius action on the fiber over x. For example, in the case of the Vieta cover of polynomials over Fq this structure describes a… (More)

Representa - tion stability in cohomology and asymptotics for families of varieties over finite fields

Thomas Ellenberg Church, S. Jordan, Benson Farb

Algebraic topology : applications and new…

2014

Representation stability in cohomology and asymptotics for families of varieties over finite fields. Algebraic topology: applications and new directions, 1–54