Project Details
Projekt
Tropical linear degenerate flag varieties and applications (A11)
Subject Area
Mathematics
Term
since 2017
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 286237555
Grassmannians and flag varieties are important moduli spaces in algebraic geometry. Understanding their analogues in tropical geometry in terms of a combinatorial characterization is an intriguing but difficult task. In this project, we introduce a new tool to this problem, namely linear degenerate flag varieties. Because of their connection to Grassmannians and flag varieties, they offer on the one hand a new approach to the study of tropicalizations of flag varieties. On the other hand we open up new interesting questions concerning tropicalizations of linear degenerate flag varieties, which will also be studied in this project. In addition, we will study possible applications of linear degenerate flag varieties in network coding.
DFG Programme
CRC/Transregios
Applicant Institution
Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
Project Heads
Professor Dr. Ghislain Fourier, since 1/2021; Professorin Dr. Hannah Markwig; Professorin Dr. Gabriele Nebe, from 1/2021 until 12/2024
