On cuspidality of global Arthur packets for symplectic groups

Dihua Jiang University of Minnesota Baiying Liu Purdue University

Number Theory Representation Theory mathscidoc:1803.24005

Geometric aspects of the trace formula, Simons Symposia, 2018
In [2], J. Arthur classifies the automorphic discrete spectrum of symplectic groups up to global Arthur packets. We continue with our investigation of Fourier coefficients and their implication to the structure of the cuspidal spectrum for symplectic groups ([16] and [20]). As result, we obtain certain characterization and construction of small cuspidal automorphic representations and gain a better understanding of global Arthur packets and of the structure of local unramified components of the cuspidal spectrum, which has impacts to the generalized Ramanujan problem as posted by P. Sarnak in [43].
Arthur Parameters and Arthur Packets, Automorphic Discrete Spectrum of Classical Groups, Fourier Coefficients and Small Cuspidal Automorphic Forms.
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  • To appear
@inproceedings{dihua2018on,
  title={On cuspidality of global Arthur packets for symplectic groups},
  author={Dihua Jiang, and Baiying Liu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180302142620356940962},
  booktitle={Geometric aspects of the trace formula, Simons Symposia},
  year={2018},
}
Dihua Jiang, and Baiying Liu. On cuspidality of global Arthur packets for symplectic groups. 2018. In Geometric aspects of the trace formula, Simons Symposia. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180302142620356940962.
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