The local Langlands conjecture for
WT Gan, G Savin - Forum of Mathematics, Pi, 2023 - cambridge.org
The Local Langlands Conjecture for 𝑮2 Page 1 Forum of Mathematics, Pi (2023), Vol. 11:e28
1–42 doi:10.1017/fmp.2023.27 RESEARCH ARTICLE The Local Langlands Conjecture for 𝑮2 …
1–42 doi:10.1017/fmp.2023.27 RESEARCH ARTICLE The Local Langlands Conjecture for 𝑮2 …
On anti-tempered local Arthur packets and a lemma of Arthur
B Liu, CH Lo, F Shahidi - arXiv preprint arXiv:2405.17407, 2024 - arxiv.org
In this note, following Arthur's ideas, we rework the process of constructing the anti-tempered
local Arthur packets for quasi-split classical groups and their pure inner forms. In particular …
local Arthur packets for quasi-split classical groups and their pure inner forms. In particular …
Hecke algebras for p-adic reductive groups and local Langlands correspondences for Bernstein blocks
We study the endomorphism algebras attached to Bernstein components of reductive p-adic
groups and construct a local Langlands correspondence with the appropriate set of …
groups and construct a local Langlands correspondence with the appropriate set of …
Bruhat-Tits buildings, representations of p-adic groups and Langlands correspondence
AM Aubert - Journal of Algebra, 2024 - Elsevier
Abstract The Bruhat-Tits theory is a key ingredient in the construction of irreducible smooth
representations of p-adic reductive groups. We describe generalizations to arbitrary such …
representations of p-adic reductive groups. We describe generalizations to arbitrary such …
On input and Langlands parameters for epipelagic representations
B Romano - Representation Theory of the American Mathematical …, 2024 - ams.org
A paper of Reeder–Yu [J. Amer. Math. Soc. 27 (2014), pp. 437–477] gives a construction of
epipelagic supercuspidal representations of $ p $-adic groups. The input for this …
epipelagic supercuspidal representations of $ p $-adic groups. The input for this …
Hecke algebras and local Langlands correspondence for non-singular depth-zero representations
M Solleveld, Y Xu - arXiv preprint arXiv:2411.19846, 2024 - arxiv.org
Let G be a connected reductive group over a non-archimedean local field. We say that an
irreducible depth-zero (complex) G-representation is non-singular if its cuspidal support is …
irreducible depth-zero (complex) G-representation is non-singular if its cuspidal support is …
On submodules of standard modules
M Solleveld - arXiv preprint arXiv:2309.10401, 2023 - arxiv.org
Consider a standard representation $\sigma $ of a quasi-split reductive p-adic group G. The
generalized injectivity conjecture, posed by Casselman--Shahidi, asserts that any generic …
generalized injectivity conjecture, posed by Casselman--Shahidi, asserts that any generic …