Symmetry, Defects, and Gauging of Topological Phases of Matter Zhenghan Wang Joint work with M. Barkeshli, P. Bonderson, and M. Cheng Microsoft Station Q/UC Santa Barbara arXiv:1410.4540 Ad: Low Dimensional Higher Categories and Applications • Math: Classification of (2+1)- and (3+1)-TQFTs, not fully extended--- Invariants of low dimensional manifolds (especially smooth 4D) • Physics: Classificati