Project Details
Projekt
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 show that the reflective orthogonal modular forms of singular weight are in natural bijection to the conjugacy classes in Conway's group Co0, the orthogonal group of the Leech lattice, with non-trivial fixed-point sublattice. Furthermore, the cusps of the associated modular varieties shall be classified. The second subproject deals with the construction and investigation of Hecke operators for vertex operator algebras.
DFG Programme
CRC/Transregios
Applicant Institution
Goethe-Universität Frankfurt am Main
Project Head
Professor Dr. Nils R. Scheithauer
