Several intrinsic topological ways to encode connections on vector bundles on smooth complex algebraic curves will be described. In particular the notion of Stokes decompositions will be formalised, as a convenient intermediate category between the Stokes filtrations and the Stokes local systems/wild monodromy representations. The main result establishes a new simple characterisation of the Stokes decompositions
In this paper, we consider the wild nonabelian Hodge correspondence for principal $G$-bundles on cur...
The complex projective structures considered is this article are compact curves locally modeled on $...
The nonlinear Stokes phenomenon occurs in the local theory of differential equations (or, more conci...
This research monograph provides a geometric description of holonomic differential systems in one or...
A precise description of the singularities of the Borel transform of solutions of a level-one linear...
Multisummation provides a transparent description of Stokes matrices which is reviewed here together...
The main cases of interest for physical applications of the generalized Stokes' theorem are visualiz...
We study certain confluences of equations with two Fuchsian singularities which produce an irregular...
In this thesis, we compute the Stokes data at infinity of some differential equations arising from s...
In this paper we propose similarity between ramified irregular singularities of meromorphic connecti...
In this thesis we study the natural symplectic geometry of moduli spaces of meromorphic connections ...
A precise description of the singularities of the Borel transform of solutions of a level-one linear...
We consider germs of analytic singular vector fields in dimension three, called doubly-resonant sadd...
We consider the concept of Stokes-Dirac structures in boundary control theory proposed by van der Sc...
AbstractWe study moduli spaces of meromorphic connections (with arbitrary order poles) over Riemann ...
In this paper, we consider the wild nonabelian Hodge correspondence for principal $G$-bundles on cur...
The complex projective structures considered is this article are compact curves locally modeled on $...
The nonlinear Stokes phenomenon occurs in the local theory of differential equations (or, more conci...
This research monograph provides a geometric description of holonomic differential systems in one or...
A precise description of the singularities of the Borel transform of solutions of a level-one linear...
Multisummation provides a transparent description of Stokes matrices which is reviewed here together...
The main cases of interest for physical applications of the generalized Stokes' theorem are visualiz...
We study certain confluences of equations with two Fuchsian singularities which produce an irregular...
In this thesis, we compute the Stokes data at infinity of some differential equations arising from s...
In this paper we propose similarity between ramified irregular singularities of meromorphic connecti...
In this thesis we study the natural symplectic geometry of moduli spaces of meromorphic connections ...
A precise description of the singularities of the Borel transform of solutions of a level-one linear...
We consider germs of analytic singular vector fields in dimension three, called doubly-resonant sadd...
We consider the concept of Stokes-Dirac structures in boundary control theory proposed by van der Sc...
AbstractWe study moduli spaces of meromorphic connections (with arbitrary order poles) over Riemann ...
In this paper, we consider the wild nonabelian Hodge correspondence for principal $G$-bundles on cur...
The complex projective structures considered is this article are compact curves locally modeled on $...
The nonlinear Stokes phenomenon occurs in the local theory of differential equations (or, more conci...