LEADER 03823nam 2200565 450 001 9910821761303321 005 20220819053611.0 010 $a0-8218-9188-X 035 $a(CKB)3240000000070103 035 $a(EBL)3113322 035 $a(SSID)ssj0000760621 035 $a(PQKBManifestationID)11451215 035 $a(PQKBTitleCode)TC0000760621 035 $a(PQKBWorkID)10715596 035 $a(PQKB)11264446 035 $a(MiAaPQ)EBC3113322 035 $a(RPAM)17414463 035 $a(PPN)197102239 035 $a(EXLCZ)993240000000070103 100 $a20120803h20122012 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTropical geometry and integrable systems $ea Conference on Tropical Geometry and Integrable Systems, July 3-8, 2011, School of Mathematics and Statistics, University of Glasgow, United Kingdom /$fChris Athorne, Diane Maclagan, Ian Strachan, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2012] 210 4$dİ2012 215 $a1 online resource (170 p.) 225 1 $aContemporary mathematics,$v580$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-7553-1 320 $aIncludes bibliographical references. 327 $aIntroduction -- Introduction to tropical algebraic geometry -- 1. Introduction -- 2. Tropical varieties -- 3. Drawing curves in the plane -- 4. The Fundamental and Structure theorems -- 5. The computational approach to tropical varieties -- 6. Connections to subvarieties of toric varieties -- References -- Tropical curves and integrable piecewise linear maps -- 1. Introduction -- Acknowledgments -- 2. Tropical curve theory -- 3. Tropical periodic Toda lattice -- 4. Periodic BBS -- References -- Counting algebraic curves with tropical geometry -- 1. Enumerative Algebraic Geometry -- 2. Tropical Geometry -- 3. Counting Algebraic Curves tropically -- 4. Applications -- References -- Hurwitz numbers, ribbon graphs, and tropicalization -- 1. Introduction -- 2. The classical viewpoints: covers and permutations -- 3. Double Hurwitz numbers and labeled ribbon graphs -- 4. From ribbon graphs to permutations -- 5. The tropical definition -- References -- Sperner property, matroids and finite-dimensional Gorenstein algebras -- Introduction -- 1. Posets and the Sperner property -- 2. Matroids -- 3. Tropicalization in cluster algebras -- 4. Application I: Periodicities of Y-systems -- 5. Application II: Dilogarithm identities -- References -- An application of the max-plus spectral theory to an ultradiscrete analogue of the Lax pair -- 1. Introduction -- 2. Simplified Lax pair -- 3. Adding constraints -- 4. Conclusions and projects -- 5. Acknowledgement -- References -- A KdV cellular automaton without integers -- 1. Introduction -- 2. A brief recall of the continuous and the discrete situation -- 3. A linear problem for the ultradiscrete KdV equation -- 4. Bound states for the ultradiscrete KdV equation -- 5. Tau functions and the dressing procedure -- 6. The case of degenerate spectrum -- 7. Concluding remarks -- References. 410 0$aContemporary mathematics,$v580$x0271-4132 606 $aTropical geometry$vCongresses 615 0$aTropical geometry 676 $a516.35 686 $a14T05$a14H70$a14N10$a37K10$a37K20$2msc 702 $aAthorne$b Chris$f1957- 702 $aMaclagan$b Diane$f1974- 702 $aStrachan$b Ian$f1965- 712 12$aConference on Tropical Geometry and Integrable Systems 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910821761303321 996 $aTropical geometry and integrable systems$9832891 997 $aUNINA