Integrable Systems and Algebraic Geometry 2 Volume Paperback Set

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Integrable Systems and Algebraic Geometry 2 Volume Paperback Set

Series:

London Mathematical Society Lecture Note Series

Author:

Ron Donagi, University of Pennsylvania
Tony Shaska, Oakland University, Michigan

Published:

April 2020

Availability:

Temporarily unavailable - available from TBC

Format:

Multiple copy pack

ISBN:

9781108785495

AUD$227.95

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Multiple copy pack

2 Paperback books

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Description

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 non-experts, 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.

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
Makes the theory accessible and will be a valuable source for graduate students and non-experts

Product details

Published: April 2020
Format: Multiple copy pack
ISBN: 9781108785495
Length: 900 pages
Dimensions: 228 × 151 × 50 mm
Weight: 1.37kg
Contains: 54 b/w illus. 14 tables
Availability: Temporarily unavailable - available from TBC

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Contents

Volume 1: Integrable systems: a celebration of Emma Previator's 65th birthday 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 Luen-Chau 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 double-reflection and confocal incircular nets Vladimir Dragović, Milena Radnović and Roger Fidèle Ranomenjanahary
8. Bi-flat F-manifolds: a survey Alessandro Arsie and Paolo Lorenzoni
9. The periodic 6-particle 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 one-point commuting difference operators Gulnara S. Mauleshova and Andrey E. Mironov. Volume 2: Algebraic geometry: a celebration of Emma Previato's 65th birthday Ron Donagi and Tony Shaska
1. Arithmetic analogues of Hamiltonian systems Alexandru Buium
2. Algebraic spectral curves over Q and their tau-functions 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. σ-functions: old and new results V. M. Buchstaber, V. Z. Enolski and D. V. Leykin
7. Bergman tau-function: 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 Jean-Pierre Françoise and Daisuke Tarama
9. An extension of Delsarte, Goethals and Mac Williams 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. Lattice-theoretic 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 non-holomorphic Eisenstein-type 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 cross-ratio and Schwarz derivative Vladimir Retakh, Vladimir Rubtsov and Georgy Sharygin.

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Contributors

Ron Donagi, Tony Shaska, Fritz Gesztesy, Roger Nichols, Horst Knörrer, Henryk Żołądek, Luen-Chau Li, Francesco Calogero, Farrin Payandeh, A. M. Perelomov, Vladimir Dragović, Milena Radnović, Roger Fidèle Ranomenjanahary, Alessandro Arsie, Paolo Lorenzoni, Pol Vanhaecke, Tova Brown, Nicholas M. Ercolani, T. Kappeler, P. Topalov, Albert Chern, Felix Knöppel, Franz Pedit, Ulrich Pinkall, F. Magri, Steven Rayan, Thomas Stanley, Jacek Szmigielski, K. Spalding, A. P. Veselov, Gulnara S. Mauleshova, Andrey E. Mironov, Alexandru Buium, Boris Dubrovin, Sándor J. Kovács, Yuri G. Zarhin, Adrian Clingher, Andreas Malmendier, V. M. Buchstaber, V. Z. Enolski, D. V. Leykin, Dmitry Korotkin, Jean-Pierre Françoise, Daisuke Tarama, Cícero Carvalho, Victor G. L. Neumann, L. M. Bates, R. C. Churchill, Roland Schmidt, Jiyro Komeda, Shigeki Matsutani, James Cogdell, Jay Jorgenson, Lejla Smajlović, Mauro Spera, Ivan Horozov, Vladimir Retakh, Vladimir Rubtsov, Georgy Sharygin

Editors

Ron Donagi , University of Pennsylvania
Ron Donagi is Professor of Mathematics and Physics at the University of Pennsylvania. He works in algebraic geometry and string theory, and is a Fellow of the American Mathematical Society. He has written and edited several books, including Integrable Systems and Quantum Groups (2009).
Tony Shaska , Oakland University, Michigan
Tony Shaska is Associate Professor in the Department of Mathematics at Oakland University, Michigan. He works in algebraic and arithmetic geometry with an emphasis on algebraic curves and their Jacobians, including arithmetic aspects. He is an active researcher and has edited many books including Computational Aspects of Algebraic Curves (2005), Advances in Coding Theory and Cryptography (2007), Advances on Superelliptic Curves and Their Applications (2015) and Algebraic Curves and Their Applications (2019). He has been Editor in Chief of the Albanian Journal of Mathematics since 2007.

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