Jun 5 – 10, 2023
IHES
Europe/Paris timezone

Research Talk: Topological Recursion, Painlevé Equation, Exact WKB and Resurgence

Jun 6, 2023, 2:00 PM
1h
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Speaker

Kohei Iwaki (The University of Tokyo)

Description

In the first half of the talk, I’ll give a review of the topological recursion and how it is related to WKB, Painlevé equations and BPS structures (I 2019, Eynard--Garcia-Failde-Marchal-Orantin 2019, 2021, I—Kidwai 2020, 2021).
In the latter half, I’ll discuss a resurgence property of the topological recursion partition function based on several conjectures which are expected to hold from the view-point of the exact WKB analysis. In particular, I’ll explain how the cluster transformation is related to the non-linear Stokes phenomena for the Painlevé transcendents.

Presentation materials