Hodge theory, Stokes Phenomenon and Applications
April 10 – 14, 2017

This conference takes place within the framework of the SISYPH program, which is a joint ANR (France)-DFG (Germany) program.
SISYPH stands for ‘Mirror Symmetry and Irregular Singularities coming from Physics’.

It is intended to give the state of the art concerning the results obtained during the 3-year period of SISYPH, both by SISYPH members and by other researchers who brought a substantial contribution to the following topics:

  • Mirror symmetry as an efficient tool for the computation of various Gromov-Witten invariants for smooth algebraic varieties and orbifolds.
  • Irregular singularities of linear differential equations in all dimensions, from the point of view of D-modules and of isomonodromic deformations.
  • Hodge-theoretical properties for such differential systems.
Scientific & Organizing Committee

Claus Hertling (Universität Mannheim)
Claude Sabbah (Ecole polytechnique)
Christian Sevenheck (Technische Universität Chemnitz)

Introductory lectures on Stokes structure

Introduction to Stokes structures III  (pdf) 

Introduction to Stokes structures IV (pdf)

Introduction to Stokes structures I (dimension one)   (Slides of talk 1)   (printable file of talk 1)
Introduction to Stokes structures II (dimension ≥2)    (Slides of talk 1)   (printable file of talk 2)


Wild character varieties, meromorphic Hitchin systems and Dynkin diagrams (pdf)  (link to the preprint)

​Wall-crossing for Donaldson-Thomas invariants via quadratic differentials 

On the Riemann-Hilbert correspondence for irregular holonomic D-modules 

Exponential motives 

On the monodromy data of the tt*-Toda equations 

A factorization theorem for rank-two irregular flat connections   (pdf) (article)

Primitive forms and Frobenius structures on the Hurwitz spaces (pdf)

Mixed twistor D-modules and some examples   (pdf)

Hodge theory of GKZ systems 

Geometry of moduli spaces of parabolic connections with irregular singularities on curves 

The Betti Hitchin fibration for ℙ1 minus 5 points (preprint)

Semi-infinite Hodge structures in noncommutative geometry 

Skeletons and moduli of Stokes torsors 

Gamma conjecture for Brieskorn-Pham singularities 

Recent developments in irregular Hodge filtrations