Seminar "Weighted Hurwitz numbers and topological recursion"

Seminar homepage: https://sites.google.com/view/aceh-seminar/home [5]

GOAL OF THE SEMINAR:

Hurwitz theory provides an excellent set of enumerative geometric  problems related to topological recursion theory.

The reason is two-fold: these problems are numerous, and they are  related to each other —  this makes possible to learn from the already solved problems, to better approach the unsolved ones.

Several of them have been proved to satisfy topological recursion, for others the statement remains conjectural and in some cases has been tested computationally.

In 2016 Alexandrov, Chapuy, Eynard, and Harnad (ACEH) propose a general formula for the topological recursion spectral curve valid for a certain class of Hurwitz problems, and investigate it throughout three papers. The main goal of the learning seminar is to understand this trilogy.

ORGANISERS: Dan Betea and Danilo Lewanski