Clément Dupont: Cohomology groups related to zeta values and polylogarithms

I will describe some geometric configurations (bi-arrangements of hyperplane and toric type) whose associated cohomology groups encapture arithmetic information about values of the Riemann zeta function at integers, and classical polylogarithms. These constructions are connected to problems in diophantine approximation and the theory of motives. This is partly joint with Javier Fresán (Ecole polytechnique).