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.

Manylion Llyfryddiaeth
Prif Awdur:	Newton, J
Fformat:	Journal article
Iaith:	English
Cyhoeddwyd:	Springer 2022

Eitemau Tebyg

Irreducible components of extended eigenvarieties and interpolating Langlands functoriality
gan: Johansson, C, et al.
Cyhoeddwyd: (2019)

$p$-adic Langlands functoriality for the definite unitary group
gan: White, P
Cyhoeddwyd: (2012)

Symmetric power functoriality for Hilbert modular forms
gan: Newton, J, et al.
Cyhoeddwyd: (2025)

Symmetric power functoriality for holomorphic modular forms
gan: Newton, J, et al.
Cyhoeddwyd: (2021)

Symmetric power functoriality for holomorphic modular forms, II
gan: Newton, J, et al.
Cyhoeddwyd: (2021)

Modularity of trianguline Galois representations
gan: Rebecca Bellovin
Cyhoeddwyd: (2024-01-01)

Contragredient representations and characterizing the local Langlands correspondence
gan: Adams, Jeffrey, et al.
Cyhoeddwyd: (2018)

Local langlands correspondence in rigid families
gan: Johansson, C, et al.
Cyhoeddwyd: (2020)

UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES
gan: MATTHEW EMERTON, et al.
Cyhoeddwyd: (2017-01-01)

Langlands duality for representations and quantum groups at a root of unity
gan: McGerty, K
Cyhoeddwyd: (2009)

Computing mod ℓ Galois representations associated to modular forms for small primes
gan: Peng Tian, et al.
Cyhoeddwyd: (2023-10-01)

Icosahedral galois representations /
gan: 365895 Buhler, Joe P.
Cyhoeddwyd: (1978)

Galois groups and their representations /
gan: Ihara, Y.
Cyhoeddwyd: (1983)

Towards functorial language-games
gan: Hedges, J, et al.
Cyhoeddwyd: (2018)

Functorial Fast-Growing Hierarchies
gan: J. P. Aguilera, et al.
Cyhoeddwyd: (2024-01-01)

Geometric Langlands in prime characteristic
gan: Chen, Tsao-Hsien
Cyhoeddwyd: (2012)

Towards Functorial Language-Games
gan: Jules Hedges, et al.
Cyhoeddwyd: (2018-11-01)

Functorial Evolution of Quantum Fields
gan: Stefano Gogioso, et al.
Cyhoeddwyd: (2021-07-01)

Adjoint Selmer groups of automorphic Galois representations of unitary type
gan: Newton, JJM, et al.
Cyhoeddwyd: (2022)

LIFTING TORSION GALOIS REPRESENTATIONS
gan: CHANDRASHEKHAR KHARE, et al.
Cyhoeddwyd: (2015-08-01)

Torsion points on modular curves and Galois theory
gan: Ribet, K, et al.
Cyhoeddwyd: (2003)

Monodromy for some rank two Galois representations over CM fields
gan: Allen, PB, et al.
Cyhoeddwyd: (2020)

Spectral Action in Betti Geometric Langlands
gan: Yun, Zhiwei
Cyhoeddwyd: (2020)

Langlands Duality and Invariant Differential Operators
gan: Vladimir Dobrev
Cyhoeddwyd: (2025-03-01)

di-Langlands correspondence and extended observables
gan: Saebyeok Jeong, et al.
Cyhoeddwyd: (2024-06-01)

The p-adic local langlands conjecture
gan: Malon, Christopher D
Cyhoeddwyd: (2006)

Positive traces and analytic Langlands correspondence
gan: Klyuev, Daniil
Cyhoeddwyd: (2024)

Geometric Langlands correspondence near opers
gan: Teleman, C, et al.
Cyhoeddwyd: (2013)

Automorphy lifting for residually reducible -adic Galois representations, II
gan: Allen, PB, et al.
Cyhoeddwyd: (2020)

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

Galois representations attached to algebraic automorphic representations
gan: Green, B
Cyhoeddwyd: (2016)

Compositionality and functorial invariants in machine learning
gan: Shiebler, D
Cyhoeddwyd: (2023)

Automata Minimization: a Functorial Approach
gan: Thomas Colcombet, et al.
Cyhoeddwyd: (2020-03-01)

A Functorial Construction of Quantum Subtheories
gan: Ivan Contreras, et al.
Cyhoeddwyd: (2017-05-01)

An open string analogue of Viterbo functoriality
gan: Abouzaid, Mohammed, et al.
Cyhoeddwyd: (2012)

Functoriality for Lagrangian correspondences in Floer theory
gan: Wehrheim, Katrin, et al.
Cyhoeddwyd: (2012)

Functorial prolongations of some functional bundles
gan: Antonella Cabras, et al.
Cyhoeddwyd: (2004-05-01)

Torsion Galois representations over CM fields and Hecke algebras in the derived category
gan: Newton, J, et al.
Cyhoeddwyd: (2016)

LIFTING TORSION GALOIS REPRESENTATIONS – CORRIGENDUM
gan: CHANDRASHEKHAR KHARE, et al.
Cyhoeddwyd: (2016-01-01)

Families of p̳-adic Galois representations
gan: Tan, Fucheng, Ph. D. Massachusetts Institute of Technology
Cyhoeddwyd: (2012)