Integrable systems and algebraic geometry : a celebration of Emma Previato's 65th birthday
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Integrable systems and algebraic geometry : a celebration of Emma Previato's 65th birthday
(London Mathematical Society lecture note series, 458-459)
Cambridge University Press, 2020
- : 2 v. set : pbk
- v. 1 : pbk
- v. 2 : pbk
Related Bibliography 2 items
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Includes bibliographical references
Description and Table of Contents
- Volume
-
v. 1 : pbk ISBN 9781108715744
Description
Table of Contents
- 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 Knoerrer
- 3. A note on the commutator of Hamiltonian vector fields Henryk Zoladek
- 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 Dragovic, Milena Radnovic and Roger Fidele 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 Knoeppel, Franz Pedit and Ulrich Pinkall
- 13. The Kowalewski top revisited F. Magri
- 14. The Calogero-Francoise 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
-
v. 2 : pbk ISBN 9781108715775
Description
Table of Contents
- 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 Sandor J. Kovacs
- 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. -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 Francoise 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 Cicero 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 Smajlovic
- 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.
- Volume
-
: 2 v. set : pbk ISBN 9781108785495
Description
Table of 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 Knoerrer
- 3. A note on the commutator of Hamiltonian vector fields Henryk Zoladek
- 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 Dragovic, Milena Radnovic and Roger Fidele 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 Knoeppel, Franz Pedit and Ulrich Pinkall
- 13. The Kowalewski top revisited F. Magri
- 14. The Calogero-Francoise 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 Sandor J. Kovacs
- 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. -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 Francoise 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 Cicero 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 Smajlovic
- 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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