|Speaker :||Prof. Yamana Shunsuke (Kyoto University)|
|Title :||On the lifting of cusp forms on U(2) to cusp forms on U(2n)|
|Time :||2017-09-04 (Mon) 10:30 - 11:30|
|Place :||Seminar Room 722, Institute of Mathematics (NTU Campus)|
I associate to a cusp form on U(2) a cusp form on U(2n).
This is a generalizations of the lifting of an elliptic cusp form to Hermitian cusp forms constructed by Ikeda from imaginary quadratic fields to CM fields and from quasisplit unitary groups to more general unitary groups. For U(n,n) I will specialize the construction to give holomorphic cusp forms with square-free level by explicit Fourier series and give some application to a theory of Hermitian forms.