Enumerative geometry with quadratic forms

• Applicant: Professor Dr. Marc Levine
• Subject Area: Mathematics
• Term: from 2018 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 404436668

The main goals of this project are to use motivic homotopy theory to develop methods suitable for the construction of a theory of enumerative geometry with values in quadratic forms, to apply these methods to key problems in enumerative geometry, and to use the resulting quadratic invariants to give a deeper understanding of the enumerative geometry of real varieties as well as the arithmetic aspects of enumerative problems over an arbitrary field.

• DFG Programme: Priority Programmes
• Subproject of: SPP 1786: Homotopy Theory and Algebraic Geometry