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Cluster theory of the coherent Satake category - MaRDI portal

Cluster theory of the coherent Satake category (Q5227285)

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scientific article; zbMATH DE number 7085529

Language	Label	Description	Also known as
English	Cluster theory of the coherent Satake category	scientific article; zbMATH DE number 7085529

Statements

scholarly article

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Cluster theory of the coherent Satake category (English)

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Harold Williams

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Journal of the American Mathematical Society

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publication date

25 July 2019

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full work available at URL

https://arxiv.org/abs/1801.08111

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MaRDI profile type

MaRDI publication profile

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Perverse coherent sheaves

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\(\mathcal{N}=2\) quantum field theories and their BPS quivers

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Cluster categories for algebras of global dimension 2 and quivers with potential.

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The Coulomb branch of 3d \({\mathcal{N}= 4}\) theories

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

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Equivariant homology and K-theory of affine Grassmannians and Toda lattices

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

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Parametrizations of canonical bases and totally positive matrices

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Cluster structures for 2-Calabi–Yau categories and unipotent groups

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Tilting theory and cluster combinatorics.

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Quantum cluster characters of Hall algebras

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Notes on the Geometric Satake Equivalence

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Total positivity in Schubert varieties

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Quantum cluster algebras.

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Cluster algebras as Hall algebras of quiver representations.

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Geometric engineering of (framed) BPS states

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4d \({\mathcal N}=2\) gauge theories and quivers: the non-simply laced case

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<i>Y</i>-systems,<i>Q</i>-systems, and 4D $\mathcal {N}=2$ supersymmetric QFT

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Discrete integrable systems, supersymmetric quantum mechanics, and framed BPS states

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From triangulated categories to cluster algebras II

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Line defects, tropicalization, and multi-centered quiver quantum mechanics

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On the Embedding of Rings in Skew Fields

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Integrable lattice models from four-dimensional field theories

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Gauge theory and integrability. I

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Gauge theory and integrability. II

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\(Q\)-systems as cluster algebras. II: Cartan matrix of finite type and the polynomial property

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Hodge cycles, motives, and Shimura varieties

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Quivers with potentials and their representations. I: Mutations.

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Tensor Categories

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Geometric Langlands twists of \(N=4\) gauge theory from derived algebraic geometry

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Towards a cluster structure on trigonometric zastava

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Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions

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Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras

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Double Bruhat cells and total positivity

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Cluster algebras I: Foundations

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Rigid modules over preprojective algebras.

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Kac-Moody groups and cluster algebras

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Generic bases for cluster algebras and the Chamber Ansatz

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Cluster structures on quantum coordinate rings

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Framed BPS states

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Spectral networks

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Wall-crossing, Hitchin systems, and the WKB approximation

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Donaldson-Thomas transformations of moduli spaces of G-local systems

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The Berenstein-Zelevinsky quantum cluster algebra conjecture

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Cluster algebras and quantum affine algebras

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Monoidal Categorifications of Cluster Algebras of Type A and D

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On crystal bases of the \(q\)-analogue of universal enveloping algebras

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On level-zero representation of quantized affine algebras.

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<i>Q</i>-systems as cluster algebras

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On cluster theory and quantum dilogarithm identities

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Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras

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Simplicity of heads and socles of tensor products

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Monoidal categorification of cluster algebras

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Monoidal categories associated with strata of flag manifolds

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Geometric engineering of quantum field theories

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A diagrammatic approach to categorification of quantum groups I

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Twist Automorphisms on Quantum Unipotent Cells and Dual Canonical Bases

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Graded quiver varieties, quantum cluster algebras and dual canonical basis

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Representations of Yangians and multiplicities of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras

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Cluster-tilted algebras are Gorenstein and stably Calabi-Yau

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Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants

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The algebra of Wilson-'t Hooft operators

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Wall-Crossing Structures in Donaldson–Thomas Invariants, Integrable Systems and Mirror Symmetry

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Electric-magnetic duality and the geometric Langlands program

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Imaginary vectors in the dual canonical basis of \(U_q({\mathfrak n})\)

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Foundations of Grothendieck duality for diagrams of schemes

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Canonical Bases Arising from Quantized Enveloping Algebras

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Bases in equivariant 𝐾-theory

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Twists of Plücker coordinates as dimer partition functions

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The twist for positroid varieties

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Perverse sheaves on affine Grassmannians and Langlands duality

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Quiver varieties and cluster 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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On the equivariant 𝐾-theory of the nilpotent cone

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Cluster algebras via cluster categories with infinite-dimensional morphism spaces

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Triangular bases in quantum cluster algebras and monoidal categorification conjectures

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Quiver algebras as Fukaya categories

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Gauge theory and mirror symmetry

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Donaldson-Thomas transformation of double bruhat cells in semisimple Lie groups

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Q-Systems, Factorization Dynamics, and the Twist Automorphism

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Toda systems, cluster characters, and spectral networks

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An introduction to affine Grassmannians and the geometric Satake equivalence

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Identifiers

zbMATH Open document ID

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10.1090/jams/918

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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:5227285

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