Moduli Spaces, Symplectic and Calabi-Yau Manifolds (M08 (C5/C7))

• Subject Area: Mathematics
• Term: from 2011 to 2019
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 30164218

Moduli spaces of various sorts are a common theme inside the Transregio. The central topics in this project are the geometry of moduli spaces of varieties and vector bundles, with a special emphasis on moduli of Calabi-Yau varieties, moduli of vector bundles, and the theory of holomorphic symplectic varieties. New working packages include cubic fourfolds, stability conditions for stacks, tautological sheaves, moduli spaces of vector bundles on higher-dimensional varieties, and the birational geometry of hyperkähler manifolds.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 45: Periods, Moduli Spaces and Arithmetic of Algebraic Varieties
• Applicant Institution: Johannes Gutenberg-Universität Mainz
• Co-Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn; Universität Duisburg-Essen; Campus Essen (aufgelöst)
• Project Heads: Professor Dr. Daniel Greb; Professor Dr. Georg Hein; Professor Dr. Jochen Heinloth; Professor Dr. Daniel Huybrechts; Professor Dr. Vladimir Lazic, until 3/2017; Professor Dr. Manfred Lehn; Professor Dr. Sönke Rollenske, until 8/2011; Professor Dr. Duco van Straten; Professorin Dr. Catharina Stroppel, until 6/2015