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Explore the intricate world of quantum invariants in this 50-minute lecture by Sergei Gukov from Caltech and Dublin IAS. Delve into the process of categorification, focusing on its application from knots to 3-manifolds. Gain insights into advanced mathematical concepts and their implications in quantum physics and topology. Examine the first part of this comprehensive exploration, laying the groundwork for understanding the complex relationships between different mathematical structures and their quantum counterparts.
