Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers

Author:   Kenji Iohara ,  Philippe Malbos ,  Masa-Hiko Saito ,  Nobuki Takayama
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2020
Volume:   28
ISBN:  

9783030264567


Pages:   371
Publication Date:   15 July 2021
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers


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Author:   Kenji Iohara ,  Philippe Malbos ,  Masa-Hiko Saito ,  Nobuki Takayama
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2020
Volume:   28
Weight:   0.587kg
ISBN:  

9783030264567


ISBN 10:   3030264564
Pages:   371
Publication Date:   15 July 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Part I First Byway: Gröbner Bases.- 1 From Analytical Mechanical Problems to Rewriting Theory Through M. Janet.- 2 Gröbner Bases in D-modules: Application to Bernstein-Sato Polynomials.- 3 Introduction to Algorithms for D-Modules with Quiver D-Modules.- 4 Noncommutative Gröbner Bases: Applications and Generalizations.- 5 Introduction to Computational Algebraic Statistics.- Part II Second Byway: Quivers.- 6 Introduction to Representations of Quivers.- 7 Introduction to Quiver Varieties.- 8 On Additive Deligne-Simpson Problems.- 9 Applications of Quiver Varieties to Moduli Spaces of Connections on P1.

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Author Information

Kenji Iohara is a Professor at Université Claude Bernard  Lyon 1, France. His research focuses mainly on the Lie theory, singularity, and special functions. He co-authored “Representation Theory of the Virasoro Algebra” (978-0-85729-159-2), published with Springer.Philippe Malbos is a Professor at Université Claude Bernard  Lyon 1, France. His fields of research include algebraic rewriting, Gröbner bases, and homological algebra. Masa-Hiko Saito is a Professor and Director of the Center for Mathematical and Data Sciences at Kobe University, Japan. His interests include algebraic geometry and its applications to integrable systems. Nobuki Takayama is a Professor at Kobe University, Japan. His research fields comprise computer algebra, hypergeometric functions, D-modules, and algebraic statistics. He co-authored “Gröbner Deformations of Hypergeometric Differential Equations” (978-3-540-66065-1), published by Springer.

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