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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, 1957- [editor of compilation.] | Maclagan, Diane, 1974- [editor of compilation.] | Strachan, Ian, 1965- [editor of compilation.]Material type: Text

TextSeries: Contemporary mathematics ; v. 580Publisher: 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 LOC classification: QA582 | .C66 2011Other classification: 14T05 | 14H70 | 14N10 | 37K10 | 37K20 Online resources: Contents | Contents

Contents:

Introduction to tropical algebraic geometry / Diane Maclagan -- http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11494 Tropical curve and integrable piecewise linear map / Rei Inoue and Shinsuke Iwao -- http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11489 Counting algebraic curves with tropical geometry / Florian Block -- http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11499 Hurwitz numbers, ribbon graphs, and tropicalization / Paul Johnson -- http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11500 Sperner property, matroids and finite-dimensional Gorenstein algebras / Toshiaki Maeno and Yasuhide Numata -- http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11496 Block triangular bilinear forms and braid group action / Leonid Chekhov and Marta Mazzocco -- http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11569 Tropicalization method in cluster algebras / Tomoki Nakanishi -- http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11486 An application of the max-plus spectral theory to an ultradiscrete analogue of the Lax pair / Serge�i Sergeev -- http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11501 A KdV cellular automaton without integers / R. Willox, A. Ramani, J. Satsuma and B. Grammaticos -- http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11495

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11862

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://www.ams.org/conm/580/

http://dx.doi.org/10.1090/conm/580/11494

http://www.ams.org/conm/580/

http://dx.doi.org/10.1090/conm/580/11489

http://www.ams.org/conm/580/

http://dx.doi.org/10.1090/conm/580/11499

http://www.ams.org/conm/580/

http://dx.doi.org/10.1090/conm/580/11500

http://www.ams.org/conm/580/

http://dx.doi.org/10.1090/conm/580/11496

http://www.ams.org/conm/580/

http://dx.doi.org/10.1090/conm/580/11569