# Meeting Details

Title: Sets with Integral Distances in Finite Fields Algebra and Number Theory Seminar Maosheng Xiong, Penn State University This is joint work with Iosevich and Shparlinski. Given a positive integer $n$, a finite field $F$ of $q$ elements ($q$ odd), and a non-degenerate quadratic form $Q$ on $FF$, we study the largest possible cardinality of subsets $E subseteq FF$ with pairwise integral $Q$-distances, that is, for any two vectors $x=(x_1, ldots,x_n),y=(y_1,ldots,y_n) in E$, one has [Q(x-y)=u^2] for some $u in F$.