Non-archimedean and tropical geometry of moduli spaces (A02)

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

A main goal of our project is the calculation of the top weight cohomology of strata of flat surfaces. For this purpose we aim to develop an explicit combinatorial model for the boundary complex of the compactification of strata. Building on these developments, we intend to prove a correspondence principle for spin Hurwitz numbers. Other subprojects focus on a non-archimedean Siegel upper half plane, the logarithmic description of bordifications of Teichmüller space, and the tropical geometry of a moduli space of Higgs bundles.

• 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. Martin Möller; Professor Martin Ulirsch, Ph.D.; Professorin Dr. Annette Werner