Michael Hoffman - Multiple Zeta Values and Alternating MZVs Arising From a Combinatorial Problem

Explore a fascinating lecture on multiple zeta values and alternating MZVs stemming from a combinatorial problem. Delve into Guy Louchard's challenge of determining the general term in an asymptotic expansion of a specific definite integral. Discover how this problem led to the development of formulas involving alternating multiple zeta values and Euler polynomials. Uncover the surprising reduction of these formulas to rational polynomials in ordinary zeta values. Examine the intriguing set of relations among alternating multiple zeta values suggested by this reduction. Gain insights into the intersection of number theory, algebraic geometry, and physics through this 55-minute presentation by Michael Hoffman, delivered as part of the Hausdorff Trimester Program on Periods in Number Theory, Algebraic Geometry and Physics at the Hausdorff Center for Mathematics.