Tropical geometry and integrable systems : [electronic resource] a Conference on Tropical Geometry and Integrable Systems, July 3-8, 2011, School of Mathematics and Statistics, University of Glasgow, United Kingdom / Chris Athorne, Diane Maclagan, Ian Strachan, editors.
By: Conference on Tropical Geometry and Integrable Systems (2011 : Glasgow, Scotland).
Contributor(s): Athorne, Chris [editor of compilation.] | Maclagan, Diane [editor of compilation.] | Strachan, Ian [editor of compilation.].
Material type:
BookSeries: Contemporary mathematics, v. 580.Publisher: Providence, Rhode Island : American Mathematical Society, [2012]Copyright date: �A�2012Description: 1 online resource (x, 155 pages : illustrations).Content type: text Media type: unmediated Carrier type: volumeISBN: 9780821891889 (online).Subject(s): Tropical geometry -- Congresses | Algebraic geometry -- Tropical geometry -- Tropical geometry | Algebraic geometry -- Curves -- Relationships with integrable systems | Algebraic geometry -- Projective and enumerative geometry -- Enumerative problems (combinatorial problems) | Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) | Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Relations with algebraic geometry, complex analysis, special functionsAdditional physical formats: Tropical geometry and integrable systems :DDC classification: 516.3/5 Other classification: 14T05 | 14H70 | 14N10 | 37K10 | 37K20 Online resources: Contents | Contents Includes bibliographical references.
Introduction to tropical algebraic geometry / Diane Maclagan -- Tropical curve and integrable piecewise linear map / Rei Inoue and Shinsuke Iwao -- Counting algebraic curves with tropical geometry / Florian Block -- Hurwitz numbers, ribbon graphs, and tropicalization / Paul Johnson -- Sperner property, matroids and finite-dimensional Gorenstein algebras / Toshiaki Maeno and Yasuhide Numata -- Block triangular bilinear forms and braid group action / Leonid Chekhov and Marta Mazzocco -- Tropicalization method in cluster algebras / Tomoki Nakanishi -- An application of the max-plus spectral theory to an ultradiscrete analogue of the Lax pair / Serge�i Sergeev -- A KdV cellular automaton without integers / R. Willox, A. Ramani, J. Satsuma and B. Grammaticos --
http://dx.doi.org/10.1090/conm/580/11494
http://dx.doi.org/10.1090/conm/580/11489
http://dx.doi.org/10.1090/conm/580/11499
http://dx.doi.org/10.1090/conm/580/11500
http://dx.doi.org/10.1090/conm/580/11496
http://dx.doi.org/10.1090/conm/580/11569
http://dx.doi.org/10.1090/conm/580/11486
http://dx.doi.org/10.1090/conm/580/11501
http://dx.doi.org/10.1090/conm/580/11495
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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