Enumerating tropical curves and hypersurfaces (B04)

• Subject Area: Mathematics
• Term: since 2017
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 286237555

We will provide new algorithms for tropical enumerative geometry and implement these in polymake (and OSCAR). To this end we will use lattice paths, floor diagrams and other techniques from computational geometry. For the first time, this will enable users and researchers worldwide to perform large scale computations on Gromov–Witten and related invariants. As we expect, overcoming some of the obstacles on the way will also lead to structural new results on moduli spaces which will be of independent interest.

• 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: Professor Dr. Michael Joswig; Professorin Dr. Hannah Markwig, from 1/2021 until 12/2024