Automorphic forms and vertex operator algebras (A06)

• Subject Area: Mathematics
• Term: since 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 444845124

In the first subproject we want to classify the reflective automorphic products of singular weight and derive the classification the holomorphic vertex operator algebras of central charge 24 from this result. In the second subproject these vertex operator algebras shall be classified geometrically by classifying generalised deep holes. The third subproject is devoted to the construction and study of Hecke operators for vertex operator algebras.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 326: Geometry and Arithmetic of Uniformized Structures (GAUS)
• Applicant Institution: Goethe-Universität Frankfurt am Main
• Project Head: Professor Dr. Nils R. Scheithauer