Some aspects of topology in condensed matter physics

Some topics covered in this class are: The Index theorem, solitons, topological band insulators/superconductors, bulk-edge correpondence, quantum anomalies, quantum pumping, symmetry protected topological phases and symmetry enriched topological order if time allows.

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Field Theory in Condensed Matter Physics

Topics covered: Superfluidity in weakly interacting Bose gas, the random phase approximation to the Coulomb interaction in the Jellium model, superconductivity within the random phase approximation, the renormalization group analysis of non-linear-sigma models, the Kosterlitz-Thouless transition.

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