Lefschetz collections on homogeneous spaces and quantum cohomology

• Applicant: Professor Dr. Maxim Smirnov
• Subject Area: Mathematics
• Term: since 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 448537907

The goal of this project is to study relations between decompositions of quantum cohomology rings and semiorthogonal decompositions of derived categories of coherent sheaves for homogeneous spaces G/P. In particular, we aim to construct new examples of Lefschetz collections in the derived category of coherent sheaves on G/P, determine their residual categories, and compare to the quantum cohomology picture.

• DFG Programme: Research Grants
• Co-Investigator: Professor Dr. Marco Hien