Integrable Systems and Algebraic Geometry
2 Volume Paperback Set
c.$180.00 ( )
Part of London Mathematical Society Lecture Note Series
 Editors:
 Ron Donagi, University of Pennsylvania
 Tony Shaska, Oakland University, Michigan
 Publication planned for: April 2020
 availability: Not yet published  available from April 2020
 format: Multiple copy pack
 isbn: 9781108785495
c.$
180.00
( )
Multiple copy pack
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Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and nonexperts, as well as researchers. The work is split into two volumes, with the first covering a wide range of areas related to integrable systems, and the second focusing on algebraic geometry and its applications.
Read more Brings together experts from the vast areas of research of integrable systems and algebraic geometry
 Contains a large collection of articles from different viewpoints and highlights the interconnections between different areas of mathematics
 This set of volumes makes the theory accessible and it will be a valuable source for graduate students and nonexperts
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×Product details
 Publication planned for: April 2020
 format: Multiple copy pack
 isbn: 9781108785495
 dimensions: 228 x 152 mm
 contains: 54 b/w illus. 14 tables
 availability: Not yet published  available from April 2020
Table of Contents
Volume 1: Preface Ron Donagi and Tony Shaska
1. Trace ideal properties of a class of integral operators Fritz Gesztesy and Roger Nichols
2. Explicit symmetries of the Kepler Hamiltonian Horst Knörrer
3. A note on the commutator of Hamiltonian vector fields Henryk Żołądek
4. Nodal curves and a class of solutions of the Lax equation for shock clustering and Burgers turbulence LuenChau Li
5. Solvable dynamical systems in the plane with polynomial interactions Francesco Calogero and Farrin Payandeh
6. The projection method in classical mechanics A. M. Perelomov
7. Pencils of quadrics, billiard doublereflection and confocal incircular nets Vladimir Dragović, Milena Radnović and Roger Fidèle Ranomenjanahary
8. Biflat Fmanifolds: a survey Alessandro Arsie and Paolo Lorenzoni
9. The periodic 6particle Kac–Van Moerbeke system Pol Vanhaecke
10. Integrable mappings from a unified perspective Tova Brown and Nicholas M. Ercolani
11. On an Arnold–Liouville type theorem for the focusing NLS and the focusing MKDV equations T. Kappeler and P. Topalov
12. Commuting Hamiltonian flows of curves in real space forms Albert Chern, Felix Knöppel, Franz Pedit and Ulrich Pinkall
13. The Kowalewski top revisited F. Magri
14. The Calogero–Françoise integrable system: algebraic geometry, Higgs fields, and the inverse problem Steven Rayan, Thomas Stanley and Jacek Szmigielski
15. Tropical Markov dynamics and Cayley cubic K. Spalding and A. P. Veselov
16. Positive onepoint commuting difference operators Gulnara S. Mauleshova and Andrey E. Mironov. Volume 2: Preface Ron Donagi and Tony Shaska
1. Arithmetic analogues of Hamiltonian systems Alexandru Buium
2. Algebraic spectral curves over Q and their taufunctions Boris Dubrovin
3. Frobenius split anticanonical divisors Sándor J. Kovács
4. Halves of points of an odd degree hyperelliptic curve in its jacobian Yuri G. Zarhin
5. Normal forms for Kummer surfaces Adrian Clingher and Andreas Malmendier
6. σfunctions: old and new results V. M. Buchstaber, V. Z. Enolski and D. V. Leykin
7. Bergman taufunction: from Einstein equations and Dubrovin–Frobenius manifolds to geometry of moduli spaces Dmitry Korotkin
8. The rigid body dynamics in an ideal fluid: Clebsch top and Kummer surfaces JeanPierre Françoise and Daisuke Tarama
9. An extension of Delsarte, Goethals and MacWilliams theorem on minimal weight codewords to a class of Reed–Muller type codes Cícero Carvalho and Victor G. L. Neumann
10. A primer on Lax pairs L. M. Bates and R. C. Churchill
11. Latticetheoretic characterizations of classes of groups Roland Schmidt
12. Jacobi inversion formulae for a curve in Weierstrass normal form Jiyro Komeda and Shigeki Matsutani
13. Spectral construction of nonholomorphic Eisensteintype series and their Kronecker limit formula James Cogdell, Jay Jorgenson and Lejla Smajlović
14. Some topological applications of theta functions Mauro Spera
15. Multiple Dedekind zeta values are periods of mixed Tate motives Ivan Horozov
16. Noncommutative crossratio and Schwarz derivative Vladimir Retakh, Vladimir Rubtsov and Georgy Sharygin.
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