TQFTs From Non-Semisimple Modular Categories and Modified Traces - Marco de Renzi

Explore the third lecture in a series on Topological Quantum Field Theories (TQFTs) and modified traces in algebra and topology. Delve into the construction of TQFTs using non-semisimple modular categories and the theory of modified traces. Examine how these advanced techniques generalize the standard semisimple approach of Reshetikhin and Turaev, leading to powerful topological invariants and representations of mapping class groups with remarkable new properties. Gain insights into the features of invariants and representations resulting from this construction. Learn about the application of these sophisticated tools in studying topology in dimensions 2 and 3, including invariants of 3-manifolds computable by cut-and-paste methods. Discover the joint work of Marco de Renzi with A. Gainutdinov, N. Geer, B. Patureau, and I. Runkel in this 1-hour 12-minute lecture presented by the Hausdorff Center for Mathematics.