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Speaker:

Sara Angela Filippini
Affiliation:

Cambridge University
Date:

Wed, 2017-11-29 09:00 - 10:00
Location:

MPIM Lecture Hall 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.

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