Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal case

V Sécherre, S Stevens - Compositio Mathematica, 2019 - cambridge.org
Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal case
Page 1 Towards an explicit local Jacquet–Langlands correspondence beyond the cuspidal …

PARITY OF CONJUGATE SELF-DUAL REPRESENTATIONS OF INNER FORMS OF OVER p-ADIC FIELDS

Y Takanashi - Journal of the Institute of Mathematics of Jussieu, 2025 - cambridge.org
PARITY OF CONJUGATE SELF-DUAL REPRESENTATIONS OF INNER FORMS OF GLn
OVER p-ADIC FIELDS Page 1 J. Inst. Math. Jussieu (2025), 24(1), 249–271 doi:10.1017/S1474748024000240 …

Local Galois representations of Swan conductor one

N Imai, T Tsushima - arXiv preprint arXiv:1509.02960, 2015 - arxiv.org
We construct the local Galois representations over the complex field whose Swan
conductors are one by using etale cohomology of Artin-Schreier sheaves on affine lines over …

Affinoids in the Lubin–Tate perfectoid space and simple supercuspidal representations II: wild case

N Imai, T Tsushima - Mathematische Annalen, 2021 - Springer
We construct a family of affinoids in the Lubin–Tate perfectoid space and their formal models
such that the middle cohomology of their reductions realizes the local Langlands …

Geometric realization of the local Langlands correspondence for representations of conductor three

N Imai, T Tsushima - arXiv preprint arXiv:1205.0734, 2012 - arxiv.org
arXiv:1205.0734v4 [math.NT] 19 Mar 2022 Geometric realization of the local Langlands
correspondence for representations of con Page 1 arXiv:1205.0734v4 [math.NT] 19 Mar 2022 …

Affinoids in the Lubin–Tate perfectoid space and simple supercuspidal representations I: tame case

N Imai, T Tsushima - International Mathematics Research …, 2020 - academic.oup.com
We construct a family of affinoids in the Lubin–Tate perfectoid space and their formal models
such that the middle cohomology of the reductions of the formal models realizes the local …

Endoscopic lifting of simple supercuspidal representations of SO2n+ 1 to GL2n

M Oi - American Journal of Mathematics, 2019 - muse.jhu.edu
We compute the characters of simple supercuspidal representations of the twisted ${\rm GL}
_ {2n}(F) $ and ${\rm SO} _ {2n+ 1}(F) $ for a $ p $-adic field $ F $. Comparing them by the …

Geometric realization of the local Langlands correspondence for representations of conductor three

N Imai, T Tsushima - Publications of the Research Institute for …, 2022 - ems.press
Geometric Realization of the Local Langlands Correspondence for Representations of Conductor
Three Page 1 Publ. RIMS Kyoto Univ. 58 (2022), 49–77 DOI 10.4171/PRIMS/58-1-3 Geometric …

PARITY OF THE LANGLANDS PARAMETERS OF CONJUGATE SELF-DUAL REPRESENTATIONS OF AND THE LOCAL JACQUET–LANGLANDS …

Y Mieda - Journal of the Institute of Mathematics of Jussieu, 2020 - cambridge.org
We determine the parity of the Langlands parameter of a conjugate self-dual supercuspidal
representation of over a non-archimedean local field by means of the local Jacquet …

Parity of conjugate self-dual representations of inner forms of over -adic fields

Y Takanashi - arXiv preprint arXiv:2204.08830, 2022 - arxiv.org
We prove a general formula that relates the parity of the Langlands parameter of a conjugate
self-dual discrete series representation of $\mathrm {GL} _n $ to the parity of its Jacquet …