Title: DISENTANGLING MANY-BODY QUANTUM SYSTEMS AND LARGE-SCALE LINEAR ALGEBRA

In this talk I want to show how many important questions of quantum
many-body physics (solid state physics, quantum optics) naturally lead
to a highly efficient description of quantum states by sets of
matrices whose manipulation involves large-scale linear algebra of
sparse matrices. I will illustrate the various challenges by current
physical problems from solid state physics and quantum optics and
would like to try to give a flavour why theoretical physicists would
be interested in insights from computer science and numerical
mathematics to tackle such problems.