Connectivity and simple connectivity of spaces of differentials

• Applicant: Professor Dr. Martin Möller
• Subject Area: Mathematics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 527465281

The geometry of moduli spaces of differentials on curves is connected to a number of seemingly distant parts of mathematics, notably to spaces of stability conditions and to torsion point questions on hyperelliptic curves. Our goal is to investigate connectivity questions for strata of these moduli spaces and leaves of certain foliation given by imposing conditions on periods as well as questions about simple connectivity of the covering spaces given by adding Teichmüller markings.

• DFG Programme: Research Grants
• International Connection: Mexico
• Partner Organisation: Universidad Nacional Autónoma de México (UNAM)
• Cooperation Partner: Quentin Gendron, Ph.D.