String proofs in braided monoidal categories
Seminar/Forum
Braided monoidal structures occur on categories whose objects are representations of (quantum) groups and on categories whose morphisms are low-dimensional manifolds. My purpose is to explain the use of string diagrams in these categories, motivated by linear algebra. As an application I shall use a string argument, influenced strongly by the work of Markus Rost and his students, to reprove the existence of very few dimensions on which division algebra structures can exist.
Presenter
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Professor Ross Street, Macquarie University