The theory of Drinfeld associators is the cornerstone of the deep and surprising connection between integrable systems, low-dimensional topology, deformation quantization and number theory. They provide a universal construction of all quantum invariants of links, are the deep reason behind every hard existence theorem of quantization of Poisson manifolds, and leads to important algebraic relations between so-called multiple zeta values, which in turn are closely related to computations of periods in algebraic geometry and of Feynman amplitudes in quantum field theory. There has been many exciting developments, in these different directions, of the theory over the past few years. The main goal of the conference will be to bring together researchers, from the mathematics and also from the physics community, working on these different topics, with a particular emphasis on the applications in mathematical physics.
