On Mœglin's parametrization of Arthur packets for p-adic quasisplit $Sp(N)$ and $SO(N)$

A combinatorial solution to Mœglin's parametrization of Arthur packets for p-adic quasisplit $Sp(N)$ and $O(N)$

We develop a general procedure to study the combinatorial structure of Arthur packets for $p$-adic quasisplit $Sp(N)$ and $O(N)$ following the works of Mœglin. This allows us to answer many delicate questions concerning the Arthur packets of these groups, for example the size of the packets.

p进域上拟分裂$GSp(2n)$与$GO(2n)$的Arthur包

Arthur packets for quasisplit $GSp(2n)$ and $GO(2n)$ over a $p$-adic field

该研究构造了p进域上辛相似群与偶正交相似群的Arthur包，验证了其稳定性及满足扭内视特征关系，推进了p进域上相关群的Arthur包理论研究。

On the cuspidal support of discrete series for $p$-adic quasisplit $Sp(N)$ and $SO(N)$

Zelevinsky's classification theory of discrete series of $p$-adic general linear groups has been well known. Mœglin and Tadic gave the same kind of theory for $p$-adic classical groups, which is more complicated due to the occurrence of nontrivial structure of L-packets. Nonetheless, their work is independent of the endoscopic classification theory of Arthur (also Mok in the unitary case), which concerns the structure of L-packets in these cases. So our goal in this paper is to make more explicit the connection between these two very different types of theories. To do so, we reprove the result…

L-packets of quasisplit $GSp(2n)$ and $GO(2n)$

In his monograph (2013) Arthur characterizes the L-packets of quasisplit symplectic groups and orthogonal groups. By extending his work, we characterize the L-packets for the corresponding similitude groups with desired properties. In particular, we show these packets satisfy the conjectural endoscopic character identities.

Fourier coefficients for automorphic forms on quasisplit classical groups

In [J14], a conjecture was proposed on a relation between the global Arthur parameters and the structure of Fourier coefficients of the automorphic representations in the corresponding global Arthur packets. In this paper, we discuss the recent progress on this conjecture and certain problems which lead to better understanding of Fourier coefficients of automorphic forms. At the end, we extend a useful technical lemma to a few versions, which are more convenient for future applications.

辛群与特殊正交群的纯实形式的Arthur包

Arthur packets for pure real forms of symplectic and special orthogonal groups

本文针对辛群与特殊正交群纯实形式的Arthur包，证明调和分析与微局部几何两种构造方法所得结果本质等价，拓展了此前拟分裂实形式情形的相关结论。