11–14 juin 2019
Le Bois-Marie
Fuseau horaire Europe/Paris

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

14 juin 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

Orateur

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.

Auteur principal

Carlos Simpson (Université Nice-Sophia-Antipolis)

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