# 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

- Mathematics
- 2019

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 construction… Expand

On the formal degree conjecture for non-singular supercuspidal representations

- Mathematics
- 2021

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

- Mathematics
- 2021

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 the… Expand

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