Vertex functions modulo p

Andrey Smirnov (UNC Chapel Hill)

27-Oct-2022, 18:50-19:50 (17 months ago)

Abstract: The vertex functions are generating functions counting rational curves in a quiver variety. They also give a basis of solutions to quantum differential equation associated with the quiver variety. In my talk I discuss a construction of certain polynomial solutions of quantum differential equation modulo a prime p. I also describe a number of conjectures relating the p-adic limit of these solutions to the vertex functions. The talk is based on a joint investigation in progress with A. Varchenko.

mathematical physicsalgebraic geometrydifferential geometrygeometric topologyoperator algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic


Geometry, Physics, and Representation Theory Seminar

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