Linear degenerate flag varieties and their tropical counterparts (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 study this problem with a new tool, namely Quiver Grassmannians resp. linear degenerate flag varieties. We compare tropicalizations and Dressians and study positive parts, short flags and special quivers.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 195: Symbolic Tools in Mathematics and their Application
• Applicant Institution: Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
• Project Heads: Dr. Xin Fang, since 1/2025; Professor Dr. Ghislain Fourier, since 1/2021; Professorin Dr. Hannah Markwig; Professorin Dr. Gabriele Nebe, from 1/2021 until 12/2024