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Tropical geometry and integrable systems : a conference on tropical geometry and integrable systems, July 3-8, 2011, School of Mathematics and Statistics, University of Glasgow, United Kingdom /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , , |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
©2012.
|
| Colección: | Contemporary mathematics (American Mathematical Society) ;
v. 580. |
| Temas: |
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.)
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| Acceso en línea: | Texto completo |
MARC
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| 111 | 2 | |a Conference on Tropical Geometry and Integrable Systems |d (2011 : |c Glasgow, Scotland) | |
| 245 | 1 | 0 | |a Tropical geometry and integrable systems : |b a conference on tropical geometry and integrable systems, July 3-8, 2011, School of Mathematics and Statistics, University of Glasgow, United Kingdom / |c Chris Athorne, Diane Maclagan, Ian Strachan, editors. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c ©2012. | ||
| 300 | |a 1 online resource (x, 155 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Contemporary mathematics ; |v 580 | |
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Online resource; title from PDF title page (American Mathematical Society, viewed Nov. 20, 2012). | |
| 505 | 0 | |a ""Introduction ""; ""Introduction to tropical algebraic geometry""; ""1. Introduction""; ""2. Tropical varieties""; ""3. Drawing curves in the plane""; ""4. The Fundamental and Structure theorems""; ""5. The computational approach to tropical varieties""; ""6. Connections to subvarieties of toric varieties""; ""References""; ""Tropical curves and integrable piecewise linear maps""; ""1. Introduction""; ""Acknowledgments""; ""2. Tropical curve theory""; ""3. Tropical periodic Toda lattice""; ""4. Periodic BBS""; ""References""; ""Counting algebraic curves with tropical geometry"" | |
| 505 | 8 | |a ""1. Enumerative Algebraic Geometry""""2. Tropical Geometry""; ""3. Counting Algebraic Curves tropically""; ""4. Applications""; ""References""; ""Hurwitz numbers, ribbon graphs, and tropicalization""; ""1. Introduction""; ""2. The classical viewpoints: covers and permutations""; ""3. Double Hurwitz numbers and labeled ribbon graphs""; ""4. From ribbon graphs to permutations""; ""5. The tropical definition""; ""References""; ""Sperner property, matroids and finite-dimensional Gorenstein algebras""; ""Introduction""; ""1. Posets and the Sperner property""; ""2. Matroids"" | |
| 505 | 8 | |a ""3. Finite-dimensional Gorenstein algebras and Lefschetz property""""4. Gorenstein algebras associated to matroids""; ""5. Main result""; ""6. Gröbner fan of _{ }""; ""References""; ""Block triangular bilinear forms and braid group action""; ""1. A quadratic Poisson algebra and its reductions""; ""2. The Dubrovin�Ugaglia bracket and braid group action""; ""3. General block size""; ""4. Quantisation""; ""Acknowledgements""; ""References""; ""Tropicalization method in cluster algebras""; ""1. Introduction""; ""2. Cluster algebra with coefficients"" | |
| 505 | 8 | |a ""3. Tropicalization in cluster algebras""""4. Application I: Periodicities of Y-systems""; ""5. Application II: Dilogarithm identities""; ""References""; ""An application of the max-plus spectral theory to an ultradiscrete analogue of the Lax pair""; ""1. Introduction""; ""2. Simplified Lax pair""; ""3. Adding constraints""; ""4. Conclusions and projects""; ""5. Acknowledgement""; ""References""; ""A KdV cellular automaton without integers""; ""1. Introduction""; ""2. A brief recall of the continuous and the discrete situation""; ""3. A linear problem for the ultradiscrete KdV equation"" | |
| 505 | 8 | |a ""4. Bound states for the ultradiscrete KdV equation""""5. Tau functions and the dressing procedure""; ""6. The case of degenerate spectrum""; ""7. Concluding remarks""; ""References"" | |
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Tropical geometry |v Congresses. | |
| 650 | 6 | |a Géométrie tropicale |v Congrès. | |
| 650 | 7 | |a Tropical geometry |2 fast | |
| 650 | 7 | |a Algebraic geometry |x Tropical geometry |x Tropical geometry. |2 msc | |
| 650 | 7 | |a Algebraic geometry |x Curves |x Relationships with integrable systems. |2 msc | |
| 650 | 7 | |a Algebraic geometry |x Projective and enumerative geometry |x Enumerative problems (combinatorial problems) |2 msc | |
| 650 | 7 | |a Dynamical systems and ergodic theory |x Infinite-dimensional Hamiltonian systems |x Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.) |2 msc | |
| 650 | 7 | |a Dynamical systems and ergodic theory |x Infinite-dimensional Hamiltonian systems |x Relations with algebraic geometry, complex analysis, special functions. |2 msc | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Athorne, Chris, |d 1957- |1 https://id.oclc.org/worldcat/entity/E39PCjr7fgCDGXxk8JqCBHkpbm | |
| 700 | 1 | |a Maclagan, Diane, |d 1974- |1 https://id.oclc.org/worldcat/entity/E39PBJdx8pwg6VPwCcY7GDTvHC | |
| 700 | 1 | |a Strachan, Ian, |d 1965- | |
| 758 | |i has work: |a Tropical geometry and integrable systems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG7yTYQ3yMPhqDBHjfrkj3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Conference on Tropical Geometry and Integrable Systems (2011 : Glasgow, Scotland). |t Tropical geometry and integrable systems. |d Providence, Rhode Island : American Mathematical Society, [2012] |w (OCoLC)805390800 |
| 830 | 0 | |a Contemporary mathematics (American Mathematical Society) ; |v v. 580. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113322 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL3113322 | ||
| 938 | |a ebrary |b EBRY |n ebr10878777 | ||
| 938 | |a YBP Library Services |b YANK |n 11847440 | ||
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