D-modules in geometry and physics

• Applicant: Privatdozent Dr. Thomas Reichelt
• Subject Area: Mathematics
• Term: from 2014 to 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 268670937

This project lies at the crossroad of different areas in pure mathematics, like Hodge theory, mirror symmetry and homotopy theory with the common theme of D-modules lying underneath. The theory of D-modules is an algebraic approach to describe linear partial differential equations on a complex manifold. Their importance in algebraic geometry stems from the Riemann-Hilbert correspondence which connects them with perverse sheaves which are fundamental objects in the study of the geometry of algebraic varieties. One aim of the project is to study Hodge theoretic properties of Landau-Ginzburg models which are important in the area of mirror symmetry since they occur as mirror partners of algebraic varieties.

• DFG Programme: Independent Junior Research Groups