Title: An investigation of the complexity of approximating weighted Boolean counting CSPs Speaker: Mark Jerrum Classical constraint satisfaction problems (CSPs) model generalised satisfiability problems. Originally, it was the decision version (is there a satisfying assignment?) that was studied, but the counting version (how many assignments?) has recently attracted attention. By replacing relational constraints by functional ones, one can extend the model the cover weighted counting problems of the sort encountered in statistical physics. In this talk I will describe some recent work in which we begin to study the complexity of approximating CSPs of this kind. ``Log-supermodular'' functions play a role in the complexity classification. This is joint work by Andrei Bulatov, Martin Dyer, Leslie Goldberg and Mark Jerrum