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Tropical Geometry and Integrable Systems
 
Edited by: Chris Athorne University of Glasgow, Glasgow, United Kingdom
Diane Maclagan University of Warwick, Warwick, United Kingdom
Ian Strachan University of Glasgow, Glasgow, United Kingdom
Front Cover for Tropical Geometry and Integrable Systems
Available Formats:
Softcover ISBN: 978-0-8218-7553-7
Product Code: CONM/580
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $52.80
Electronic ISBN: 978-0-8218-9188-9
Product Code: CONM/580.E
List Price: $62.00
MAA Member Price: $55.80
AMS Member Price: $49.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Front Cover for Tropical Geometry and Integrable Systems
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  • Front Cover for Tropical Geometry and Integrable Systems
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Tropical Geometry and Integrable Systems
Edited by: Chris Athorne University of Glasgow, Glasgow, United Kingdom
Diane Maclagan University of Warwick, Warwick, United Kingdom
Ian Strachan University of Glasgow, Glasgow, United Kingdom
Available Formats:
Softcover ISBN:  978-0-8218-7553-7
Product Code:  CONM/580
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $52.80
Electronic ISBN:  978-0-8218-9188-9
Product Code:  CONM/580.E
List Price: $62.00
MAA Member Price: $55.80
AMS Member Price: $49.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5802012; 155 pp
    MSC: Primary 14; 37;

    This volume contains the proceedings of the conference on tropical geometry and integrable systems, held July 3–8, 2011, at the University of Glasgow, United Kingdom.

    One of the aims of this conference was to bring together researchers in the field of tropical geometry and its applications, from apparently disparate ends of the spectrum, to foster a mutual understanding and establish a common language which will encourage further developments of the area. This aim is reflected in these articles, which cover areas from automata, through cluster algebras, to enumerative geometry. In addition, two survey articles are included which introduce ideas from researchers on one end of this spectrum to researchers on the other.

    This book is intended for graduate students and researchers interested in tropical geometry and integrable systems and the developing links between these two areas.

    Readership

    Graduate students and research mathematicians interested in tropical geometry and its applications to integrable systems.

  • Table of Contents
     
     
    • Articles
    • Diane Maclagan - Introduction to tropical algebraic geometry
    • Rei Inoue and Shinsuke Iwao - Tropical curves and integrable piecewise linear maps
    • Florian Block - Counting algebraic curves with tropical geometry
    • Paul Johnson - Hurwitz numbers, ribbon graphs, and tropicalization
    • Toshiaki Maeno and Yasuhide Numata - Sperner property, matroids and finite-dimensional Gorenstein algebras
    • Leonid Chekhov and Marta Mazzocco - Block triangular bilinear forms and braid group action
    • Tomoki Nakanishi - Tropicalization method in cluster algebras
    • Sergeĭ Sergeev - An application of the max-plus spectral theory to an ultradiscrete analogue of the Lax pair
    • R. Willox, A. Ramani, J. Satsuma and B. Grammaticos - A KdV cellular automaton without integers
  • Additional Material
     
     
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Volume: 5802012; 155 pp
MSC: Primary 14; 37;

This volume contains the proceedings of the conference on tropical geometry and integrable systems, held July 3–8, 2011, at the University of Glasgow, United Kingdom.

One of the aims of this conference was to bring together researchers in the field of tropical geometry and its applications, from apparently disparate ends of the spectrum, to foster a mutual understanding and establish a common language which will encourage further developments of the area. This aim is reflected in these articles, which cover areas from automata, through cluster algebras, to enumerative geometry. In addition, two survey articles are included which introduce ideas from researchers on one end of this spectrum to researchers on the other.

This book is intended for graduate students and researchers interested in tropical geometry and integrable systems and the developing links between these two areas.

Readership

Graduate students and research mathematicians interested in tropical geometry and its applications to integrable systems.

  • Articles
  • Diane Maclagan - Introduction to tropical algebraic geometry
  • Rei Inoue and Shinsuke Iwao - Tropical curves and integrable piecewise linear maps
  • Florian Block - Counting algebraic curves with tropical geometry
  • Paul Johnson - Hurwitz numbers, ribbon graphs, and tropicalization
  • Toshiaki Maeno and Yasuhide Numata - Sperner property, matroids and finite-dimensional Gorenstein algebras
  • Leonid Chekhov and Marta Mazzocco - Block triangular bilinear forms and braid group action
  • Tomoki Nakanishi - Tropicalization method in cluster algebras
  • Sergeĭ Sergeev - An application of the max-plus spectral theory to an ultradiscrete analogue of the Lax pair
  • R. Willox, A. Ramani, J. Satsuma and B. Grammaticos - A KdV cellular automaton without integers
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