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E-raamat: Tropical Geometry and Integrable Systems

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  • Formaat: 155 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 10-Nov-2012
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9780821891889
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  • Formaat: 155 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 10-Nov-2012
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9780821891889

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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.
Introduction vii
List of participants
ix
Introduction to tropical algebraic geometry 1(20)
Diane Maclagan
Tropical curves and integrable piecewise linear maps
21(20)
Rei Inoue
Shinsuke Iwao
Counting algebraic curves with tropical geometry
41(14)
Florian Block
Hurwitz numbers, ribbon graphs, and tropicalization
55(18)
Paul Johnson
Sperner property, matroids and finite-dimensional Gorenstein algebras
73(12)
Toshiaki Maeno
Yasuhide Numata
Block triangular bilinear forms and braid group action
85(10)
Leonid Chekhov
Marta Mazzocco
Tropicalization method in cluster algebras
95(22)
Tomoki Nakanishi
An application of the max-plus spectral theory to an ultradiscrete analogue of the Lax pair
117(18)
Sergei Sergeev
A KdV cellular automaton without integers
135
R. Willox
A. Ramani
J. Satsuma
B. Grammaticos