Two Algebraic Byways from Differential Equations: Grbner Bases and Quivers by Ke

Description: Two Algebraic Byways from Differential Equations: Grbner Bases and Quivers by Kenji Iohara, Philippe Malbos, Masa-Hiko Saito, Nobuki Takayama Estimated delivery 3-12 business days Format Hardcover Condition Brand New Description This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Gröbner bases) and geometry (via quiver theory). Publisher Description This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Gröbner bases) and geometry (via quiver theory). Gröbner bases serve as effective models for computation in algebras of various types. Although the theory of Gröbner bases was developed in the second half of the 20th century, many works on computational methods in algebra were published well before the introduction of the modern algebraic language. Since then, new algorithms have been developed and the theory itself has greatly expanded. In comparison, diagrammatic methods in representation theory are relatively new, with the quiver varieties only being introduced – with big impact – in the 1990s.Divided into two parts, the book first discusses the theory of Gröbner bases in their commutative and noncommutative contexts, with a focus on algorithmic aspects and applications of Gröbner bases to analysison systems of partial differential equations, effective analysis on rings of differential operators, and homological algebra. It then introduces representations of quivers, quiver varieties and their applications to the moduli spaces of meromorphic connections on the complex projective line.While no particular reader background is assumed, the book is intended for graduate students in mathematics, engineering and related fields, as well as researchers and scholars. Author Biography 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. Details ISBN 303026453X ISBN-13 9783030264536 Title Two Algebraic Byways from Differential Equations: Grbner Bases and Quivers Author Kenji Iohara, Philippe Malbos, Masa-Hiko Saito, Nobuki Takayama Format Hardcover Year 2020 Pages 371 Edition 1st Publisher Springer Nature Switzerland AG GE_Item_ID:140452844; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. Returns If you wish to return an item, please consult our Returns Policy as below: Please contact Customer Services and request "Return Authorisation" before you send your item back to us. Unauthorised returns will not be accepted. Returns must be postmarked within 4 business days of authorisation and must be in resellable condition. Returns are shipped at the customer's risk. We cannot take responsibility for items which are lost or damaged in transit. For purchases where a shipping charge was paid, there will be no refund of the original shipping charge. Additional Questions If you have any questions please feel free to Contact Us. Categories Baby Books Electronics Fashion Games Health & Beauty Home, Garden & Pets Movies Music Sports & Outdoors Toys

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