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1. Introduction; 2. Optical lattices; 3. Concept of the experiment; 4. Imaging Fermi surfaces; 5. Interacting fermionic atoms in an optical lattice: the Hubbard model and beyond; 6. Weakly bound molecules in an optical lattice; 7. Bose-Fermi mixtures in a three-dimensional optical lattice; 8. Outlook
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