Teichmüller geometry of the moduli space (A01)

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

A central subproject aims at determining the cohomology of strata of Abelian differentials. The key strategies are integral models in order to gain information via point counting, and the combinatorics of the boundary complex. For this goal and also to determine fundamental groups we will us the comparison to moduli spaces of Bridgeland stability conditions, which are structurally similar. The subprojects aiming at the understanding the intersection ring of strata and applications to linear submanifolds will be continued.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 326: Geometry and Arithmetic of Uniformized Structures (GAUS)
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Project Head: Professor Dr. Martin Möller