Project Details
Projekt
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. We aim to construct non-archimedean SYZ-fibrations, i.e., a retraction to the essential skeleton, using Newton–Okounkov bodies as a crucial technical ingredient. Central examples that will be studied in detail are the Grassmannian and a free group character variety. Another strain of our project deals with the tropical geometry of multigraded rings and, in particular, the tropical geometry of the weighted Grassmannian.
DFG Programme
CRC/Transregios
Applicant Institution
Goethe-Universität Frankfurt am Main
Project Heads
Professor Dr. Alex Küronya; Professor Martin Ulirsch, Ph.D.
