Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Sara Angela Filippini
Affiliation:

Cambridge University
Date:

Wed, 2017-11-29 09:00 - 10:00 I will outline the construction of isomonodromic families of irregular meromorphic connections

on $\mathbb{P}^1$ with values in the derivations of a class of infinite-dimensional Poisson

algebras, and describe two of their scaling limits. In the ``conformal limit'' we recover a version

of the connections introduced by Bridgeland and Toledano-Laredo, while in the ''large complex

structure limit" the connections relate to tropical curves in the plane and, through work of

Gross, Pandharipande and Siebert, to tropical/GW invariants. This is joint work with

M. Garcia-Fernandez and J. Stoppa.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/YRSM2017