Arithmetic Volumes of Unitary Shimura Varieties

Jan Hendrik Bruinier, Technische Universitat Darmstadt, Germany, and Benjamin Howard, Boston College, Chestnut Hill, Massachusetts

1. Introduction 2. Eisenstein series and theta functions 3. Automorphic Green functions 4. Integral models and arithmetic intersection theory 5. A Shimura variety and its line bundles 6. Kudla-Rapoport divisors at split primes 7. The generating series of arithmetic divisors 8. The volume calculations A. Coefficients of modular forms