Number Theory Seminar: Johnson Jia (UBC)

Thanks to the work of Howe, Freitag, J.-S. Li, and most others, we can identify the holomorphic Siegel modular forms of degree n that arise as theta liftings associated with quadratic forms in at most n variables in terms of their Fourier coefficients. We shall review this work (using the language of theta correspondence) and discuss some ideas for studying the case when the number of variables in the quadratic form is greater than n.