Corpus ID: 235458203

A twisted Yu construction, Harish-Chandra characters, and endoscopy

@inproceedings{Fintzen2021ATY,
  title={A twisted Yu construction, Harish-Chandra characters, and endoscopy},
  author={Jessica Fintzen and Tasho Kaletha and Loren Spice},
  year={2021}
}
We give a modification of Yu’s construction of supercuspidal representations of a connected reductive group G over a non-archimedean local field F . This modification restores the validity of certain key intertwining property claims made by Yu, which were recently proven to be false for the original construction. This modification is also an essential ingredient in the construction of supercuspidal L-packets in [Kalb]. As further applications, we prove the stability and many instances of… Expand
3 Citations
Tame cuspidal representations in non-defining characteristics
Let k be a non-archimedean local field of odd residual characteristic p. Let G be a (connected) reductive group that splits over a tamely ramified field extension of k. We revisit Yu's constructionExpand
On the formal degree conjecture for non-singular supercuspidal representations
We prove the formal degree conjecture for non-singular supercuspidal representations based on Schwein’s work [Sch21] proving the formal degree conjecture for regular supercuspidal representations.Expand
Functoriality for supercuspidal L-packets
Kaletha constructs L-packets for supercuspidal L-parameters of tame p-adic groups. These L-packets consist entirely of supercuspidal representations, which are explicitly described. Using theExpand

References

SHOWING 1-10 OF 28 REFERENCES
Depth-zero supercuspidal L-packets and their stability
In this paper we verify the local Langlands correspondence for pure inner forms of unramied p-adic groups and tame Langlands parameters in \general position". For each such parameter, we explicitlyExpand
Epipelagic $$L$$L-packets and rectifying characters
We provide an explicit construction of the local Langlands correspondence for general tamely-ramified reductive p-adic groups and a class of wildly ramified Langlands parameters. Furthermore, weExpand
Construction of tame supercuspidal representations
The notion of depth is defined by Moy-Prasad [MP2]. The notion of a generic character will be defined in §9. When G = GLn or G is the multiplicative group of a central division algebra of dimension nExpand
Supercuspidal L-packets of positive depth and twisted Coxeter elements
The local Langlands correspondence is a conjectural connection between representations of groups G(k) for connected reductive groups G over a padic field k and certain homomorphisms (LanglandsExpand
Supercuspidal characters of reductive p-adic groups
We compute the characters of many supercuspidal representations of reductive $p$-adic groups. Specifically, we deal with representations that arise via Yu's construction from data satisfying aExpand
Explicit asymptotic expansions for tame supercuspidal characters
We combine the ideas of a Harish-Chandra–Howe local character expansion, which can be centred at an arbitrary semisimple element, and a Kim–Murnaghan asymptotic expansion, which so far has beenExpand
Rigid inner forms of real and p-adic groups
We define a new cohomology set for an affine algebraic group G and a multiplicative finite central subgroup Z, both defined over a local field of characteristic zero, which is an enlargement of theExpand
Sign changes in harmonic analysis on reductive groups
Let G be a connected reductive group over a field F. In this note the author constructs an element e(G) of the Brauer group of F. The square of this element is trivial. For a local field, e(G) may beExpand
Unrefined minimal K-types forp-adic groups
via their restriction to compact open subgroups was begun by Mautner, Shalika and Tanaka for groups of type AI. In contrast to real reductive groups where the representation theory of a maximalExpand
Twisted Levi Sequences and Explicit Styles on Sp(4)
Citation Kim, Ju-Lee and Jiu-Kang Yu. "Twisted Levi Sequences and Explicit Styles on Sp(4)." in Harmonic Analysis on Reductive, padic Groups." Edited by Robert S. Doran, Paul J. Sally, Jr., and LorenExpand
...
1
2
3
...