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.

Introductory lectures on Stokes structure

• Claus Hertling (Universität Mannheim)  

Introduction to Stokes structures III  (pdf) 

• Marco Hien (Universität Augsburg)  

Introduction to Stokes structures IV (pdf)

• ​​Claude Sabbah (Ecole polytechnique)

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)

Speakers
​

• Philip Boalch (Université Paris Sud)

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

• Tom Bridgeland (University of Sheffield)

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

• Andrea D’Agnolo (Università degli Studi di Padova)

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

• Javier Fresán (ETH Zürich)

Exponential motives 

• Martin Guest (Waseda University, Tokyo)

On the monodromy data of the tt*-Toda equations 

• Frank Loray (CNRS, Université de Rennes)

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

• Todor Milanov (IPMU, University of Tokyo)

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

• Takuro Mochizuki (RIMS, Kyoto University)

Mixed twistor D-modules and some examples   (pdf)

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• Thomas Reichelt (Universität Heidelberg)

Hodge theory of GKZ systems 

• Masa-Hiko Saito (Kobe University)

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

• Carlos Simpson (Université de Nice)

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

• Dmytro Shklyarov (Universität Chemnitz)

Semi-infinite Hodge structures in noncommutative geometry 

• Jean-Baptiste Teyssier (KU Leuven)

Skeletons and moduli of Stokes torsors 

• Kazushi Ueda (University of Tokyo)

Gamma conjecture for Brieskorn-Pham singularities 

• Jeng-Daw Yu (National Taiwan University)

Recent developments in irregular Hodge filtrations