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BIRS Workshop Lecture Videos

Higher rank partial theta functions Creutzig, Thomas


A partial theta function is a function associated to a positive cone of a positive definite rational lattice. Such objects appear in representation theory, knot theory and partitions. These functions are not modular but have modular-like transformation properties and these can be used to determine their asymptotic behavior. My motivation for studying them is that they appear as characters of certain logarithmic conformal field theories and that I expect that asymptotic dimensions coincide with Hopf links in the braided tensor category of the conformal field theory. I will illustrate this picture in the examples of Kostant false theta functions of ADE-type root lattices and corresponding W-algebras.

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