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Quantum $q$-Langlands Correspondence - MaRDI portal

Quantum $q$-Langlands Correspondence (Q4633665)

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scientific article; zbMATH DE number 7050899

Language	Label	Description	Also known as
English	Quantum $q$-Langlands Correspondence	scientific article; zbMATH DE number 7050899

Statements

scholarly article

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Quantum $q$-Langlands Correspondence (English)

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Andrei Okounkov

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Edward V. Frenkel'

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Transactions of the Moscow Mathematical Society

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publication date

3 May 2019

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full work available at URL

https://arxiv.org/abs/1701.03146

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zbMATH Keywords

Langlands correspondence

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\(q\)-conformal blocks

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MaRDI profile type

MaRDI publication profile

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Topological strings and integrable hierarchies

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Quasimap counts and Bethe eigenfunctions

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Gauge/Vortex Duality and AGT

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Liouville correlation functions from four-dimensional gauge theories

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Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture

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Representation theory of \(\mathcal{W}\)-algebras

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Singular support of coherent sheaves and the geometric Langlands conjecture

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Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials

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Holomorphic blocks in three dimensions

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The intrinsic normal cone

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Geometric singularities and enhanced gauge symmetries

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Hidden SL(n) symmetry in conformal field theories

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Factorizable sheaves and quantum groups

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Instanton moduli spaces and $\mathscr W$-algebras

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Towards a mathematical definition of Coulomb branches of 3-dimensional \(\mathcal{N} = 4\) gauge theories. II.

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Boundaries, mirror symmetry, and symplectic duality in \(3d \mathcal{N}=4 \) gauge theory

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Topological--anti-topological fusion.

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Virtual fundamental classes via dg-manifolds

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Stable quasimaps to GIT quotients

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On the geometry of toric arrangements

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Dynamical Weyl groups and applications

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Riemann-Roch theorems and elliptic genus for virtually smooth schemes

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Quantization of the Drinfel'd-Sokolov reduction.

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AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS

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Quantum \({\mathcal W}\)-algebras and elliptic algebras

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Gaudin model, Bethe ansatz and critical level

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Wakimoto modules, opers and the center at the critical level

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Gauge Theory and Langlands Duality

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Surface operators and separation of variables

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Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction

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Deformations of \(W\)-algebras associated to simple Lie algebras

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Quantum affine algebras and holonomic difference equations

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Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models

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On three dimensional quiver gauge theories and integrability

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Knot invariants from four-dimensional gauge theory

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Twisted Whittaker model and factorizable sheaves

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Lectures on Nakajima's Quiver Varieties

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On the WDVV equation in quantum \(K\)-theory.

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Localization of virtual classes

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The derived category of a GIT quotient

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Tensor categories and the mathematics of rational and logarithmic conformal field theory

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A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation

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Electric-magnetic duality and the geometric Langlands program

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Tensor Structures Arising from Affine Lie Algebras. I

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Quiver W-algebras

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Current algebras and Wess-Zumino model in two dimensions

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Free field approach to solutions of the quantum Knizhnik-Zamolodchikov equations

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Quantum \(K\)-theory. I: Foundations

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Fourier transformat, constants of the functional equations and Weil conjecture

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Stable morphisms to singular schemes and relative stable morphisms.

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A degeneration formula of GW-invariants

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Good degeneration of Quot-schemes and coherent systems

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Jackson integrals of Jordan-Pochhammer type and quantum Knizhnik-Zamolodchikov equations

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Quantum algebra structure of certain Jackson integrals

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Quantum groups and quantum cohomology

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Kirwan surjectivity for quiver varieties

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Quiver varieties and finite dimensional representations of quantum affine algebras

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Towards a mathematical definition of Coulomb branches of \(3\)-dimensional \(\mathcal{N}=4\) gauge theories. I.

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Instanton partition functions and M-theory

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BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and \(qq\)-characters

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BPS/CFT correspondence. II: Instantons at crossroads, moduli and compactness theorem

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BPS/CFT correspondence. III: Gauge origami partition function and \(qq\)-characters

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Membranes and sheaves

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The omega deformation, branes, integrability and Liouville theory

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Lectures on K-theoretic computations in enumerative geometry

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Quantum difference equation for Nakajima varieties

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Knot invariants and topological strings.

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Conformal blocks for admissible representations in \(SL(2)\) current algebra

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Fourier transform for \(D\)-algebras. I.

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\(\mathcal{W}\)-algebras and Whittaker categories

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Jackson-type integrals, Bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system

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Connections on the total Picard sheaf and the KP hierarchy

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The quantum Langlands duality

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Arrangements of hyperplanes and Lie algebra homology

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A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions

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Pseudodynamical evolution and path integral in quantum field theory

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Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras

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Combinatorial formulae for nested Bethe vectors

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The quantization conjecture revisited

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Quantization of the Hitchin moduli spaces, Liouville theory and the geometric Langlands correspondence. I

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Geometric origin of Montonen-Olive duality

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Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations for \(q\)-hypergeometric functions

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Quantum field theory, Grassmannians, and algebraic curves

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Phases of \(N=2\) theories in two dimensions

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Geometric Langlands From Six Dimensions

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Geometric Langlands duality and the equations of Nahm and Bogomolny

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Fivebranes and knots

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More on gauge theory and geometric Langlands

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Identifiers

zbMATH Open document ID

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10.1090/mosc/278

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4633665

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