Cover Image

Proof of the $p$-adic Kazhdan-Lusztig hypothesis for $\mathrm{GL}(n)$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Balodis, Kristaps John
Format:	Preprint
Published:	2025
Subjects:	Representation Theory 11F70, 32S60
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Representations of $p$-adic groups and orbits with smooth closure in a variety of Langlands parameters
by: Balodis, Kristaps, et al.
Published: (2025)

Generic representations, open parameters and ABV-packets for $p$-adic groups
by: Cunningham, Clifton, et al.
Published: (2024)

Classification of $\mathrm{GL}_{n}(\mathbb{C})$-Representations Distinguished by $\mathrm{GL}_n(\mathbb{R})$
by: Pattanayak, Basudev, et al.
Published: (2025)

On modular rigidity for ${\rm GL}_n$
by: Matringe, Nadir, et al.
Published: (2024)

Distinguished Simple Supercuspidal Representations of $p$-adic $\text{GL}(n)$
by: Luo, David C.
Published: (2026)

Shalika newforms for GL(n)
by: Okazaki, Takeo
Published: (2024)

Duality for generalized Gan-Gross-Prasad relevant pairs for $p$-adic $\mathrm{GL}_n$
by: Chan, Kei Yuen
Published: (2022)

On Higher Multiplicity upon Restriction from $\mathrm{GL}(n)$ to $\mathrm{GL}(n-1)$
by: Qadri, Mohammed Saad
Published: (2023)

A spectral expansion for the symmetric space $\mathrm{GL}_n(E)/\mathrm{GL}_n(F)$
by: Chaudouard, Pierre-Henri
Published: (2022)

Parity of conjugate self-dual representations of inner forms of $\mathrm{GL}_n$ over $p$-adic fields
by: Takanashi, Yugo
Published: (2022)

Finiteness properties of generalized Montréal functors with applications to mod $p$ representations of $\mathrm{GL}_n(\mathbb{Q}_p)$
by: Jakovác, Gergely, et al.
Published: (2025)

Koszul duality for generalised Steinberg representations of $p$-adic groups
by: Cunningham, Clifton, et al.
Published: (2024)

Uniform bounds and uncertainty for asymptotics of representations of $p$-adic ${\rm GL}_N$
by: Dalal, Rahul, et al.
Published: (2025)

On modular representations of inner forms of $\mathrm{GL}_n$ over a local non-archimedean field
by: Droschl, Johannes
Published: (2024)

On the integrality of locally algebraic representations of $\mathrm{GL}_{2}(D)$
by: Nadimpalli, Santosh, et al.
Published: (2023)

Local Langlands correspondences in $\ell$-adic coefficients
by: Imai, Naoki
Published: (2020)

Certain Fourier Operators and their Associated Poisson Summation Formulae on $\mathrm{GL}_1$
by: Jiang, Dihua, et al.
Published: (2021)

Symplectic period for a representation of $GL_n(D)$
by: Sharma, Hariom, et al.
Published: (2023)

The unramified computation of a Shimura integral for $\mathrm{SL}(2)\times \mathrm{GL}(2)$
by: Yan, Pan
Published: (2022)

Some questions about representations of p-adic groups
by: Prasad, Dipendra
Published: (2025)

Density theorems for $\text{GL}_n$ via Rankin-Selberg $L$-functions
by: Lichtman, Jared Duker, et al.
Published: (2024)

On families of degenerate representations of GL_n(F)
by: Girsch, Johannes, et al.
Published: (2025)

Representations of $GL_n(D)$ near the identity
by: Guy, Henniart, et al.
Published: (2023)

Differential operators on Hermitian modular forms on $\mathrm{U}(n, n)$
by: Takeda, Nobuki
Published: (2025)

Beyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 4: contribution of non-elliptic parts
by: Cheng, Yuhao
Published: (2026)

Structure of twisted Jacquet modules of principal series representations of $GL_{2n}(F)$
by: Harshitha, C., et al.
Published: (2025)

$L$-functions for $\mathrm{Sp}(2n)\times\mathrm{GL}(k)$ via non-unique models
by: Jin, Yubo, et al.
Published: (2023)

Schubert cells and Whittaker functionals for $\text{GL}(n,\mathbb{R})$ part II: Existence via integration by parts
by: Kim, Doyon
Published: (2024)

Pullback formula for vector-valued Hermitian modular forms on $\mathrm{U}_{n,n}$
by: Takeda, Nobuki
Published: (2024)

Non-tempered Ext Branching Laws for the $p$-adic General Linear Group
by: Qadri, Mohammed Saad
Published: (2024)

Some unipotent Arthur packets for p-adic split F4
by: Barchini, Leticia, et al.
Published: (2025)

Toric periods for a $p$-adic quaternion algebra
by: Anandavardhanan, U. K., et al.
Published: (2023)

Discrete series representations of quaternionic ${\rm GL}_n(D)$ with symplectic periods
by: Matringe, Nadir, et al.
Published: (2025)

Triality and adjoint lifting for GL(3)
by: Gan, Wee Teck
Published: (2025)

Local Transfer and Reducibility of Induced Representations of $p$-adic Groups of Classical Type
by: Asgari, Mahdi, et al.
Published: (2014)

Cuspidal cohomology for $GL(n)$ over a number field
by: Darshan, Nasit, et al.
Published: (2024)

$L$-function for $\mathrm{Sp}(4)\times\mathrm{GL}(2)$ via a non-unique model
by: Yan, Pan
Published: (2021)

Global $GL_2$ Hecke-Baxter operator
by: Gerasimov, Anton A., et al.
Published: (2025)

Siegel $\mathfrak{p}^2$ Vectors for Representations of $GSp(4)$
by: Cohen, Jonathan
Published: (2024)

Archimedean Newform Theory for $\mathrm{GL}_n$
by: Humphries, Peter
Published: (2020)