Stokes Structures, Stokes Shells and Fourier Transform

• Applicant: Professor Dr. Marco Hien
• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 554488101

The main goals of this project are: - An explicit description of the Stokes data of a Fourier transform for interesting classes. - An approach to compute the Stokes data of rigid meromorphic connections, the Fourier transform being one of the intermediate steps in the Arinkin-Katz algorithm. - Elaborating on a moduli space point of view to the Fourier transform aiming for a geometric understanding for the Fourier transform rather than focussing on explicit formulae.

• DFG Programme: Research Grants