Vertex functions modulo p
Andrey Smirnov (UNC Chapel Hill)
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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