This research seminar will be an introduction to the theory of "Moduli spaces of complex curves". Subjects to be covered will include: Teichmüller spaces and mapping class groups, hyperbolic geometry of Riemann surfaces, moduli spaces of Riemann surfaces and their Deligne-Mumford compactifications, tautological classes, the Kontsevich model and topological recursion.

Since this is a seminar for a transfer of knowledge, there will be time for additional questions and discussions.

Kurs im HIS-LSF

Semester: SoSe 2024