Project Details
Dimension formulas for automorphic forms on orthogonal groups
Applicant
Professor Dr. Nils R. Scheithauer
Subject Area
Mathematics
Term
from 2018 to 2021
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 405659853
Automorphic forms on orthogonal groups play an important role in the representation theory of infinite-dimensional Lie algebras and in the theory of moduli spaces. The goal of this project is to derive dimension formulas for certain spaces of automorphic forms on higher rank orthogonal groups by applying the Hirzebruch-Riemann-Roch theorem to suitable toroidal compactifications of the corresponding locally symmetric spaces.
DFG Programme
Research Grants
International Connection
Russia
Cooperation Partners
Professor Dr. Jan Hendrik Bruinier; Professor Dr. Valery Gritsenko; Professor Dr. Martin Möller