On Additive Deligne–Simpson Problems

DOI10.1007/978-3-030-26454-3_8zbMath1442.14038OpenAlexW3008827546MaRDI QIDQ3294893

Kazuki Hiroe

Publication date: 29 June 2020

Published in: Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-26454-3_8

zbMATH Keywords

quiver varietymeromorphic connectionadditive Deligne-Simpson problem

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Representations of quivers and partially ordered sets (16G20)

Cites Work

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• Moduli spaces of meromorphic connections and quiver varieties
• Linear differential equations on the Riemann sphere and representations of quivers
• Middle convolution and Harnad duality
• The Deligne-Simpson problem -- survey
• Meromorphic differential equations
• Formal reduction theory of meromorphic differential equations: a group theoretic view
• On sufficient conditions for the positive solvability of the Riemann- Hilbert problem
• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
• On matrices in prescribed conjugacy classes with no common invariant subspace and sum zero
• Formal power series and linear systems of meromorphic ordinary differential equations
• Noncommutative deformations of Kleinian singularities
• Multiplicative preprojective algebras, middle convolution and the Deligne-Simpson problem
• Geometry and braiding of Stokes data; fission and wild character varieties
• Linear differential equations on \(\mathbb P^1\) and root systems
• Middle convolution of Fuchsian systems and the construction of rigid differential systems
• Isomonodromic deformations and Frobenius manifolds. An introduction. Transl. from the French
• A Classification of Roots of Symmetric Kac-Moody Root Systems and Its Application
• Introduction to middle convolution for differential equations with irregular singularities
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• Rigid Local Systems. (AM-139)
• Rigid irregular connections on ℙ¹
• Generalized Okubo Systems and the Middle Convolution
• An algorithm of Katz and its application to the inverse Galois problem.
• The braid group and linear rigidity
• Symplectic manifolds and isomonodromic deformations

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