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.

Bibliografiske detaljer
Hovedforfatter:	Newton, J
Format:	Journal article
Sprog:	English
Udgivet:	Springer 2022

Lignende værker

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

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

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

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

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

Modularity of trianguline Galois representations
af: Rebecca Bellovin
Udgivet: (2024-01-01)

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

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

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

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

Functorial approach structures
af: Guillaume C.L. Brümmer, et al.
Udgivet: (2003-04-01)

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

Icosahedral galois representations /
af: 365895 Buhler, Joe P.
Udgivet: (1978)

Galois groups and their representations /
af: Ihara, Y.
Udgivet: (1983)

Towards functorial language-games
af: Hedges, J, et al.
Udgivet: (2018)

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

Geometric Langlands in prime characteristic
af: Chen, Tsao-Hsien
Udgivet: (2012)

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

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

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

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

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

Spectral Action in Betti Geometric Langlands
af: Yun, Zhiwei
Udgivet: (2020)

Langlands Duality and Invariant Differential Operators
af: Vladimir Dobrev
Udgivet: (2025-03-01)

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

The p-adic local langlands conjecture
af: Malon, Christopher D
Udgivet: (2006)

Positive traces and analytic Langlands correspondence
af: Klyuev, Daniil
Udgivet: (2024)

Geometric Langlands correspondence near opers
af: Teleman, C, et al.
Udgivet: (2013)

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

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

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

Galois representations attached to algebraic automorphic representations
af: Green, B
Udgivet: (2016)

Compositionality and functorial invariants in machine learning
af: Shiebler, D
Udgivet: (2023)

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

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

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

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

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

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

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