Blowup relations, vertex algebras, and local systems

Mikhail Bershtein (University of Edinburgh)

Thursday 7th March 16:00-17:00 Maths 311B


The subject of the talk lies on the interface of algebraic geometry, representation theory, and differential equations. The blowup equations provide a very effective method for studying invariants of complex surfaces. They can be proven using representation theory, namely they follow from the isomorphisms between vertex algebras. Furthermore, these equations admit a remarkable limit, connecting quantum and classical objects, which allows one to derive formulas for tau functions of isomonodromic deformations of linear differential equations in terms of conformal blocks.


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