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.

Bibliografski detalji
Glavni autor:	Newton, J
Format:	Journal article
Jezik:	English
Izdano:	Springer 2022

Slični predmeti

Irreducible components of extended eigenvarieties and interpolating Langlands functoriality
od: Johansson, C, i dr.
Izdano: (2019)

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

Symmetric power functoriality for Hilbert modular forms
od: Newton, J, i dr.
Izdano: (2025)

Symmetric power functoriality for holomorphic modular forms
od: Newton, J, i dr.
Izdano: (2021)

Symmetric power functoriality for holomorphic modular forms, II
od: Newton, J, i dr.
Izdano: (2021)

Modularity of trianguline Galois representations
od: Rebecca Bellovin
Izdano: (2024-01-01)

Contragredient representations and characterizing the local Langlands correspondence
od: Adams, Jeffrey, i dr.
Izdano: (2018)

Local langlands correspondence in rigid families
od: Johansson, C, i dr.
Izdano: (2020)

UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES
od: MATTHEW EMERTON, i dr.
Izdano: (2017-01-01)

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

Functorial approach structures
od: Guillaume C.L. Brümmer, i dr.
Izdano: (2003-04-01)

Computing mod ℓ Galois representations associated to modular forms for small primes
od: Peng Tian, i dr.
Izdano: (2023-10-01)

Icosahedral galois representations /
od: 365895 Buhler, Joe P.
Izdano: (1978)

Galois groups and their representations /
od: Ihara, Y.
Izdano: (1983)

Towards functorial language-games
od: Hedges, J, i dr.
Izdano: (2018)

Functorial Fast-Growing Hierarchies
od: J. P. Aguilera, i dr.
Izdano: (2024-01-01)

Geometric Langlands in prime characteristic
od: Chen, Tsao-Hsien
Izdano: (2012)

Towards Functorial Language-Games
od: Jules Hedges, i dr.
Izdano: (2018-11-01)

Functorial Evolution of Quantum Fields
od: Stefano Gogioso, i dr.
Izdano: (2021-07-01)

Adjoint Selmer groups of automorphic Galois representations of unitary type
od: Newton, JJM, i dr.
Izdano: (2022)

LIFTING TORSION GALOIS REPRESENTATIONS
od: CHANDRASHEKHAR KHARE, i dr.
Izdano: (2015-08-01)

Torsion points on modular curves and Galois theory
od: Ribet, K, i dr.
Izdano: (2003)

Spectral Action in Betti Geometric Langlands
od: Yun, Zhiwei
Izdano: (2020)

Langlands Duality and Invariant Differential Operators
od: Vladimir Dobrev
Izdano: (2025-03-01)

di-Langlands correspondence and extended observables
od: Saebyeok Jeong, i dr.
Izdano: (2024-06-01)

The p-adic local langlands conjecture
od: Malon, Christopher D
Izdano: (2006)

Positive traces and analytic Langlands correspondence
od: Klyuev, Daniil
Izdano: (2024)

Geometric Langlands correspondence near opers
od: Teleman, C, i dr.
Izdano: (2013)

Monodromy for some rank two Galois representations over CM fields
od: Allen, PB, i dr.
Izdano: (2020)

Automorphy lifting for residually reducible -adic Galois representations, II
od: Allen, PB, i dr.
Izdano: (2020)

Cuspidal ${\ell }$ -modular representations of $\operatorname {GL}_n({ F})$ distinguished by a Galois involution
od: Robert Kurinczuk, i dr.
Izdano: (2025-01-01)

Galois representations attached to algebraic automorphic representations
od: Green, B
Izdano: (2016)

Compositionality and functorial invariants in machine learning
od: Shiebler, D
Izdano: (2023)

Automata Minimization: a Functorial Approach
od: Thomas Colcombet, i dr.
Izdano: (2020-03-01)

A Functorial Construction of Quantum Subtheories
od: Ivan Contreras, i dr.
Izdano: (2017-05-01)

An open string analogue of Viterbo functoriality
od: Abouzaid, Mohammed, i dr.
Izdano: (2012)

Functoriality for Lagrangian correspondences in Floer theory
od: Wehrheim, Katrin, i dr.
Izdano: (2012)

Functorial prolongations of some functional bundles
od: Antonella Cabras, i dr.
Izdano: (2004-05-01)

Torsion Galois representations over CM fields and Hecke algebras in the derived category
od: Newton, J, i dr.
Izdano: (2016)

LIFTING TORSION GALOIS REPRESENTATIONS – CORRIGENDUM
od: CHANDRASHEKHAR KHARE, i dr.
Izdano: (2016-01-01)