Michael Hoffman: Multiple zeta values and alternating MZVs arising from a combinatorial problem

The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: Guy Louchard posed the problem of obtaining the general term of an asymptotic expansion of a certain definite integral. This led several people, including myself, to look for formulas. There is one involving alternating multiple zeta values and Euler polynomials. Somewhat surprisingly, it reduces to a rational polynomial in the ordinary zeta values. It also suggests a set of relations among alternating multiple zeta values.