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Syllabus - Topology in Condensed Matter Syllabus¶ Before you begin About this course Brief review of band structures Topology in toy models Hamiltonians, topology, and symmetry Bulk-edge correspondence in the Kitaev chain Assignments Majoranas I From Kitaev chain to a nanowire Majorana signatures: 4π-periodic Josephson effect, Andreev conductance quantization Why Majoranas are cool: braiding and quantum computation Assignments More parameters: charge pumping Thouless pumps and winding invariant Quantum Hall effect: pumping electrons in Landau levels