Alan Adolphson, Oklahoma State University

"p-adic estimates for exponential sums"

Abstract.  There is a long history of p-adic estimates for exponential sums, going back to Stickelberger's computation of the p-divisibility of Gauss sums. The Chevalley-Warning Theorem can also be viewed in this context. I'll discuss some of this history and describe some recent work and open problems.