Varieties via their L-functions

Varieties of Guilt and Their Functions

Noncommutative L-functions for Varieties over Finite Fields

In this article we prove a Grothendieck trace formula for L-functions of not necessarily commutative adic sheaves.

Rankin-selberg L-functions and Cycles on Unitary Shimura Varieties

Noncommutative L-functions for for varieties over finite fields

In this article we prove a Grothendieck trace formula for L-functions of not necessarily commutative adic sheaves.

Equational Varieties of Boolean Functions via the Hsp Theorem

A variant of a theorem of Ekin, Foldes, Hammer and Hellerstein concerning equational characterizations of Boolean function classes is proved using methods of universal algebra. The proof is not constructive but establishes a direct connection with the Birkhoff-Tarski HSP Theorem and the theory of equational classes of universal algebras.