Sofia Tarricone (Leuven): Cluster algebras and monodromy manifolds of ''irregular type''

Name: Sofia Tarricone (Leuven): Cluster algebras and monodromy manifolds of ''irregular type''
Start: 2021-12-09T11:00:00+01:00
End: 2021-12-09T12:00:00+01:00
Location: batiment I

jeudi 9 déc. 2021, 11:00 → 12:00 Europe/Paris

001 (batiment I)

001

batiment I

Département de mathématiques Bâtiment I Faculté des Sciences 2 Boulevard Lavoisier F-49045 Angers cedex 01 France

Description

In this talk we discuss the appearance of cluster algebras
structures in a new example of symplectic/Poisson manifold: the Stokes manifold, namely the monodromy manifold associated to a linear system of ODEs in the complex plane with polynomial coefficient of generic degree (i.e. having only one irregular singularity). This is obtained from the construction of log-canonical coordinates for the classical Flaschka-Newell Poisson structure, first defined there by these authors in the ‘80 while studying the inverse monodromy map. Based on the joint work with Marco Bertola arXiv:2104.13784.