IMA

Title: Computing zeta functions of varieties over finite fields

Abstract: The zeta function Z(X,T) of a variety X over a finite field is a rational

function which encodes arithmetic, combinatorial, and geometric properties

of X. For many applications, we are interested in explicitly computing

Z(X,T) in order to recover this information about X. In this talk, we

survey algorithmic methods for computing Z(X,T), and we introduce the

various cohomology theories from which these methods arise.

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