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Learn about the mathematical relationship between 3-categories and G-crossed braided categories in this 57-minute research seminar presented at the BIMSA-Tsinghua Quantum Symmetry Seminar. Explore how braided monoidal categories can be viewed as 3-categories with one object and one 1-morphism, and discover how 3-categories with one object and 1-morphisms given by elements of a group G correspond to G-crossed braided categories. Examine the equivalence between the 4-category of 3-categories C equipped with a 3-functor from BG to C and the 2-category of G-crossed braided categories, providing insights into low-dimensional quantum field theories. Join David Penneys from The Ohio State University as he presents joint work with Corey Jones and David Reutter, offering a unified approach to constructing G-crossed braided categories.
