In my talk, I will first discuss effective descriptions from physics for the quantum Hall effect in the realistic setting of thin Hall bars. Then I recall recent results on the response of interacting fermion systems that are gapped in the bulk to local perturbations and place them in this context. This offers a somewhat different perspective on the problem than the standard one in mathematical physics, which focuses on quantised bulk and indices indices.
Back to Workshop II: Model Reduction in Quantum Mechanics