8 citations · 12 across the 9 of their papers we have counts for
10 papers
Lusztig constants and endoscopy
Wille Liu, Wei-Hsuan Hsin, Cheng-Chiang Tsai
We prove that on a semisimple Lie algebra over a finite field of large characteristic, if a complex-valued invariant function and its Fourier transform …
On local integrability results for -adic reductive groups
Cheng-Chiang Tsai
We present a short proof, based on local character expansions, of the celebrated theorem of Harish-Chandra about local integrability of complex characters of -adic reductive gro…
On two definitions of wave-front sets for -adic groups
Cheng-Chiang Tsai
The wave-front set for an irreducible admissible representation of a -adic reductive group is the set of maximal nilpotent orbits which appear in the local character expansion.…
Shalika germs for tamely ramified elements in
Oscar Kivinen, Cheng-Chiang Tsai
We prove explicit combinatorial formulas for various germ expansions of orbital integrals of tamely ramified elements in , where is a nonarchimedean local field. The r…
Computations of orbital integrals and Shalika germs
Cheng-Chiang Tsai
For a reductive group over a non-archimedean local field, with some assumptions on (residue) characteristic we give an method to compute certain orbital integrals using a metho…
Geometric wave-front set may not be a singleton
Cheng-Chiang Tsai
We show that the geometric wave-front set of a specific type of supercuspidal representations of ramified -adic unitary groups is not a singleton.
Epipelagic Langlands parameters and L-packets for unitary groups
Tony Feng, Niccolo Ronchetti, Cheng-Chiang Tsai
Reeder and Yu have recently given a new construction of a class of supercuspidal representations called epipelagic representations. We explicitly calculate the Local Langlands Corr…
Components of affine Springer fibers
Cheng-Chiang Tsai
Let be a connected split reductive group over a field of characteristic zero or sufficiently large characteristic, be any t…
Inductive structure of Shalika germs and affine Springer fibers
Cheng-Chiang Tsai
This article has two parallel perspectives: to demonstrate an inductive structure of Shalika germs, and to show an analogous inductive structure for affine Springer fibers. More pr…
A formula for certain Shalika germs of ramified unitary groups
Cheng-Chiang Tsai
In this article, for nilpotent orbits of ramified quasi-split unitary groups with two Jordan blocks, we give closed formulas for their Shalika germs at certain equi-valued elements…