Symplectic duality for topological recursion

Sergey Shadrin

We discuss a class of enumerative problems in the theory of weighted double Hurwitz numbers. Inspired by the dualities coming from 2-matrix model and x-y duality in the theory of topological recursion, we study a similar phenomenon for the aforementioned class of enumerative problems, where it turns out to be a kind of symplectic duality.This is a a joint work with Bychkov, Dunin-Barkowski, Kazarian.

http://scgp.stonybrook.edu/video_portal/video.php?id=5411

Simons- Program: Integrability, enumerative geometry and quantization