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Explore a detailed lecture from the BIMSA-Tsinghua Quantum Symmetry Seminar where Professor Noah Snyder from Indiana University Bloomington presents his research on interpolation categories for conformal embeddings. Learn about the diagrammatic description of module categories from conformal inclusions (sl(N), N) ⊂ (so(N²−1), 1) and discover how a variant of this construction with uniform generators and relations allows for the creation of a continuous family of tensor categories at non-integer level. Professor Snyder explains his approach using a two-color skein theory that differs from Zhengwei Liu's previous work on interpolation categories. The talk references joint work with Cain Edie-Michell and includes comprehensive explanations of quantum algebra and quantum topology concepts, reflecting Snyder's expertise in fusion categories and subfactors.
