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Some New q-Series Conjectures

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Some New q-Series Conjectures
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9
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Representation theory of affine Lie algebras and more generally, vertex operator algebras, leads to interesting q-series identities. The q-series related to VOAs often exhibit deep modularity properties. Some of these q-series may also be of interest to the knot theorists. In this talk, I'll present some new q-series conjectures obtained jointly with Matthew Russell, and with Debajyoti Nandi.