Julian Rosen, Department of Pure Mathematics, University of Waterloo
“Multiple zeta values and multiple harmonic sums”
Multiple zeta values are a family of real numbers defined by infinite series, generalizing the values of the ordinary Riemann zeta function at positive integers. Like ordinary zeta values, they satisfy certain algebraic relations over Q. Multiple harmonic sums are obtained by truncating the multiple zeta value series. These rational numbers have many interesting congruence properties, and they are considered an arithmetic analog of multiple zeta values.
This talk will be an introduction to multiple zeta values, and the (somewhat) parallel theory of multiple harmonic sums.