Modularity of Galois representations and Langlands functoriality

This survey reports on some of the recent developments in the area of Galois representations and automorphic forms, with a particular focus on the author and Thorne’s work on symmetric power functoriality for modular forms.

Sonraí bibleagrafaíochta
Príomhchruthaitheoir:	Newton, J
Formáid:	Journal article
Teanga:	English
Foilsithe / Cruthaithe:	Springer 2022

Míreanna comhchosúla

Irreducible components of extended eigenvarieties and interpolating Langlands functoriality
de réir: Johansson, C, et al.
Foilsithe / Cruthaithe: (2019)

$p$-adic Langlands functoriality for the definite unitary group
de réir: White, P
Foilsithe / Cruthaithe: (2012)

Symmetric power functoriality for Hilbert modular forms
de réir: Newton, J, et al.
Foilsithe / Cruthaithe: (2025)

Symmetric power functoriality for holomorphic modular forms
de réir: Newton, J, et al.
Foilsithe / Cruthaithe: (2021)

Symmetric power functoriality for holomorphic modular forms, II
de réir: Newton, J, et al.
Foilsithe / Cruthaithe: (2021)

Modularity of trianguline Galois representations
de réir: Rebecca Bellovin
Foilsithe / Cruthaithe: (2024-01-01)

Contragredient representations and characterizing the local Langlands correspondence
de réir: Adams, Jeffrey, et al.
Foilsithe / Cruthaithe: (2018)

Local langlands correspondence in rigid families
de réir: Johansson, C, et al.
Foilsithe / Cruthaithe: (2020)

UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES
de réir: MATTHEW EMERTON, et al.
Foilsithe / Cruthaithe: (2017-01-01)

Langlands duality for representations and quantum groups at a root of unity
de réir: McGerty, K
Foilsithe / Cruthaithe: (2009)

Functorial approach structures
de réir: Guillaume C.L. Brümmer, et al.
Foilsithe / Cruthaithe: (2003-04-01)

Computing mod ℓ Galois representations associated to modular forms for small primes
de réir: Peng Tian, et al.
Foilsithe / Cruthaithe: (2023-10-01)

Icosahedral galois representations /
de réir: 365895 Buhler, Joe P.
Foilsithe / Cruthaithe: (1978)

Galois groups and their representations /
de réir: Ihara, Y.
Foilsithe / Cruthaithe: (1983)

Towards functorial language-games
de réir: Hedges, J, et al.
Foilsithe / Cruthaithe: (2018)

Functorial Fast-Growing Hierarchies
de réir: J. P. Aguilera, et al.
Foilsithe / Cruthaithe: (2024-01-01)

Geometric Langlands in prime characteristic
de réir: Chen, Tsao-Hsien
Foilsithe / Cruthaithe: (2012)

Towards Functorial Language-Games
de réir: Jules Hedges, et al.
Foilsithe / Cruthaithe: (2018-11-01)

Functorial Evolution of Quantum Fields
de réir: Stefano Gogioso, et al.
Foilsithe / Cruthaithe: (2021-07-01)

Adjoint Selmer groups of automorphic Galois representations of unitary type
de réir: Newton, JJM, et al.
Foilsithe / Cruthaithe: (2022)

LIFTING TORSION GALOIS REPRESENTATIONS
de réir: CHANDRASHEKHAR KHARE, et al.
Foilsithe / Cruthaithe: (2015-08-01)

Torsion points on modular curves and Galois theory
de réir: Ribet, K, et al.
Foilsithe / Cruthaithe: (2003)

Spectral Action in Betti Geometric Langlands
de réir: Yun, Zhiwei
Foilsithe / Cruthaithe: (2020)

Langlands Duality and Invariant Differential Operators
de réir: Vladimir Dobrev
Foilsithe / Cruthaithe: (2025-03-01)

di-Langlands correspondence and extended observables
de réir: Saebyeok Jeong, et al.
Foilsithe / Cruthaithe: (2024-06-01)

The p-adic local langlands conjecture
de réir: Malon, Christopher D
Foilsithe / Cruthaithe: (2006)

Positive traces and analytic Langlands correspondence
de réir: Klyuev, Daniil
Foilsithe / Cruthaithe: (2024)

Geometric Langlands correspondence near opers
de réir: Teleman, C, et al.
Foilsithe / Cruthaithe: (2013)

Monodromy for some rank two Galois representations over CM fields
de réir: Allen, PB, et al.
Foilsithe / Cruthaithe: (2020)

Automorphy lifting for residually reducible -adic Galois representations, II
de réir: Allen, PB, et al.
Foilsithe / Cruthaithe: (2020)

Cuspidal ${\ell }$ -modular representations of $\operatorname {GL}_n({ F})$ distinguished by a Galois involution
de réir: Robert Kurinczuk, et al.
Foilsithe / Cruthaithe: (2025-01-01)

Galois representations attached to algebraic automorphic representations
de réir: Green, B
Foilsithe / Cruthaithe: (2016)

Compositionality and functorial invariants in machine learning
de réir: Shiebler, D
Foilsithe / Cruthaithe: (2023)

Automata Minimization: a Functorial Approach
de réir: Thomas Colcombet, et al.
Foilsithe / Cruthaithe: (2020-03-01)

A Functorial Construction of Quantum Subtheories
de réir: Ivan Contreras, et al.
Foilsithe / Cruthaithe: (2017-05-01)

An open string analogue of Viterbo functoriality
de réir: Abouzaid, Mohammed, et al.
Foilsithe / Cruthaithe: (2012)

Functoriality for Lagrangian correspondences in Floer theory
de réir: Wehrheim, Katrin, et al.
Foilsithe / Cruthaithe: (2012)

Functorial prolongations of some functional bundles
de réir: Antonella Cabras, et al.
Foilsithe / Cruthaithe: (2004-05-01)

Torsion Galois representations over CM fields and Hecke algebras in the derived category
de réir: Newton, J, et al.
Foilsithe / Cruthaithe: (2016)

LIFTING TORSION GALOIS REPRESENTATIONS – CORRIGENDUM
de réir: CHANDRASHEKHAR KHARE, et al.
Foilsithe / Cruthaithe: (2016-01-01)