4 papers
Wavefront sets and descent method for finite unitary groups
Zhifeng Peng, Zhicheng Wang
Let be a connected reductive algebraic group defined over a finite field . In the 1980s, Kawanaka introduced the generalized Gelfand-Graev representations (GGGRs…
Wavefront sets and descent method for finite symplectic groups
Zhifeng Peng, Zhicheng Wang
In \cite{JZ1}, D. Jiang and L. Zhang proposed a conjecture which related the wavefront sets and the descent method in the local fields case. Recently, in \cite{JLZ}, they and D. Li…
The spectral side of stable local trace formula for real groups
Chung Pang Mok, Zhifeng Peng
Let be a connected quasi-split reductive group over , and more generally, a quasi-split -group over . Arthur had obtained the formal formula for the…
Multiplicity formula and stable trace formula
Zhifeng Peng
Let be a connected reductive group over . In this paper, we will stabilize the local trace formula, in particular, we construct the explicit form of the spectral si…