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The project of this conference takes place in the framework of the SISYPH program, an joint ANR (France) -DFG (Germany) program. 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.
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