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Explore the mathematical foundations connecting fusion categories to topological field theories in this 42-minute seminar lecture. Delve into the intricate relationships between these advanced mathematical structures as presented by a BIMSA research fellow specializing in modular tensor categories and topological quantum field theories. Learn how fusion categories serve as fundamental building blocks in understanding topological quantum field theories, with applications spanning from pure mathematics to theoretical physics. Examine the categorical structures that underpin these theories and discover how they contribute to our understanding of quantum topology. The presentation includes detailed mathematical exposition suitable for researchers and advanced graduate students in mathematics and theoretical physics, with accompanying slides and video materials available for further study.
