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 / [electronic resource]
Chris Athorne, Diane Maclagan, Ian Strachan, editors.
- 1 online resource (x, 155 pages : illustrations)
- Contemporary mathematics, v. 580 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references.
Introduction to tropical algebraic geometry / Tropical curve and integrable piecewise linear map / Counting algebraic curves with tropical geometry / Hurwitz numbers, ribbon graphs, and tropicalization / Sperner property, matroids and finite-dimensional Gorenstein algebras / Block triangular bilinear forms and braid group action / Tropicalization method in cluster algebras / An application of the max-plus spectral theory to an ultradiscrete analogue of the Lax pair / A KdV cellular automaton without integers / Diane Maclagan -- Rei Inoue and Shinsuke Iwao -- Florian Block -- Paul Johnson -- Toshiaki Maeno and Yasuhide Numata -- Leonid Chekhov and Marta Mazzocco -- Tomoki Nakanishi -- Serge�i Sergeev -- 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 http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11486 http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11501 http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11495
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821891889 (online)
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 functions.
QA582 / .C66 2011
516.3/5
Includes bibliographical references.
Introduction to tropical algebraic geometry / Tropical curve and integrable piecewise linear map / Counting algebraic curves with tropical geometry / Hurwitz numbers, ribbon graphs, and tropicalization / Sperner property, matroids and finite-dimensional Gorenstein algebras / Block triangular bilinear forms and braid group action / Tropicalization method in cluster algebras / An application of the max-plus spectral theory to an ultradiscrete analogue of the Lax pair / A KdV cellular automaton without integers / Diane Maclagan -- Rei Inoue and Shinsuke Iwao -- Florian Block -- Paul Johnson -- Toshiaki Maeno and Yasuhide Numata -- Leonid Chekhov and Marta Mazzocco -- Tomoki Nakanishi -- Serge�i Sergeev -- 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 http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11486 http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11501 http://www.ams.org/conm/580/ http://dx.doi.org/10.1090/conm/580/11495
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821891889 (online)
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 functions.
QA582 / .C66 2011
516.3/5