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BIRS Workshop Lecture Videos

W-algebras, topological recursion and higher Airy structures Chidambaram, Nitin Kumar


Generating functions of various enumerative invariants in algebraic geometry often satisfy Virasoro constraints. It was recently discovered by Kontsevich and Soibelman that the recursive relations of the Eynard-Orantin topological recursion can be recast as a set of Virasoro constraints, which they called Airy structures. I will talk about our generalization of their notion to "higher Airy structures", and realize the Bouchard-Eynard topological recursion as a set of W-algebra constraints. I will also mention some other higher Airy structures that we can produce in other geometric contexts.

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