# Resurgence in Mathematics and Physics

11-14 June 2019
Le Bois-Marie
Europe/Paris timezone

## On the Laplace Transform of the Monodromy as a Function of the Pertubation Parameter in WKB-Voros Resurgence

14 Jun 2019, 11:30
1h
Centre de Conférences Marilyn et James Simons (Le Bois-Marie)

### Centre de Conférences Marilyn et James Simons

#### Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

### Speaker

Carlos Simpson (Université Nice-Sophia-Antipolis)

### Description

We consider the Voros resurgence or WKB problem of monodromy for a family of connections of the form $\nabla + t.\Phi$, and look at the transport along a path as a function of $t$. Taking the Laplace transform, we discuss the analytic continuation properties leading to asymptotic estimates for the monodromy as $t \to \infty$. If time permits we'll discuss possible relations with spectral networks and harmonic mappings to buildings.

### Primary author

Carlos Simpson (Université Nice-Sophia-Antipolis)