Non-archimedean skeletons and Newton–Okounkov bodies (A03)

• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124

The main goal of this project is to investigate the interplay between non-archimedean skeletons and Newton–Okounkov bodies. The aim is mirror symmetry and, in particular, to construct non-archimedean SYZ-fibrations, i.e., a retraction to the essential skeleton, using Newton–Okounkov bodies as a crucial technical ingredient. The central example that will be studied in detail is the Grassmannian. Another strain of this project deals with the tropical geometry of multigraded rings.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 326: Geometry and Arithmetic of Uniformized Structures (GAUS)
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Project Heads: Professor Dr. Alex Küronya; Professor Martin Ulirsch, Ph.D., until 12/2025