MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

The Jacquet–Langlands Correspondence via Twisted Descent

Dihua Jiang University of Minnesota Baiying Liu Purdue University Bin Xu Sichuan University Lei Zhang National University of Singapore

Number Theory Representation Theory mathscidoc:1803.24002

Int. Math. Res. Not. IMRN, 18, 5455–5492, 2016
The existence of the well-known Jacquet–Langlands correspondence was established by Jacquet and Langlands via the trace formula method in 1970. An explicit construction of such a correspondence was obtained by Shimizu via theta series in 1972. In this paper, we extend the automorphic descent method of Ginzburg–Rallis–Soudry to a new setting. As a consequence, we recover the classical Jacquet–Langlands correspondence for PGL(2) via a new explicit construction.
No keywords uploaded!
[ Download ] [ 2018-03-02 04:52:06 uploaded by zhang_lei ] [ 1561 downloads ] [ 0 comments ] 
@inproceedings{dihua2016the,
  title={The Jacquet–Langlands Correspondence via Twisted Descent},
  author={Dihua Jiang, Baiying Liu, Bin Xu, and Lei Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180302045206544875956},
  booktitle={Int. Math. Res. Not. IMRN},
  volume={18},
  pages={5455–5492},
  year={2016},
}
Dihua Jiang, Baiying Liu, Bin Xu, and Lei Zhang. The Jacquet–Langlands Correspondence via Twisted Descent. 2016. Vol. 18. In Int. Math. Res. Not. IMRN. pp.5455–5492. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180302045206544875956.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved