2016 Theses Doctoral

# An alternative proof of genericity for unitary group of three variables

In this thesis, we prove that local genericity implies globally genericity for the quasi-split unitary group U3 for a quadratic extension of number fields E/F. We follow [Fli1992] and [GJR2001] closely, using the relative trace formula approach. Our main result is the existence of smooth transfer for the relative trace formulae in [GJR2001], which is circumvented there. The basic idea is to compute the Mellin transform of Shalika germ functions and show that they are equal in the unitary case and the general linear case.

## Files

- Wang_columbia_0054D_13290.pdf binary/octet-stream 466 KB Download File

## More About This Work

- Academic Units
- Mathematics
- Thesis Advisors
- Zhang, Wei
- Degree
- Ph.D., Columbia University
- Published Here
- May 4, 2016