250122 SE Seminar Topological Quantum Field Theory (2014S)

This seminar is meant to accompany the lecture course VO 250121. One purpose is to study various examples in more detail. In the case of 2d TQFTs this may include (more on) supersymmetric sigma models, Landau-Ginzburg models, derived categories, Fukaya categories, matrix factorisations, and homological mirror symmetry. In the 3d case possible topics are Chern-Simons theory, Turaev-Viro models and Levin-Wen models. Another direction are "higher structures", either in the form of extended TQFTs and the cobordism hypothesis, and/or L-infinity and A-infinity algebras describing topological string theory. The focus of the seminar will be decided based on the participants' preferences.