Calabi-Yau Categories (M07 (C3))

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

The project collects working packages related to (derived or triangulated) Calabi-Yau type categories with applications to Chow groups, rationality problems, and relations to representation theory. In the new developments, we study Chow groups of K3 surfaces, autoequivalences of K3 categories in cubic fourfolds, and the representation theory of Jacobian algebras.

• 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
• Project Heads: Professor Dr. Daniel Huybrechts; Professor Dr. Emanuele Macri, until 8/2011; Professor Dr. Jan Schröer