Symplectic Seminar: Integrable System

• This is an online seminar.
  Please ask Prof. Kai Cieliebak for­ login details.
• You can download the whole plan of the talks here.

 

Plan of talks

Dienstag, 03. November 2020, 10:15 Uhr, Zoom yyyy Kai Cieliebak, Universität Augsburg   Organisational Meeting   Dienstag, 10. November 2020, 10:15 Uhr, Zoom   Evgeny Volkov, Universität Augsburg   Arnold-Liouville theorem [1]   Dienstag, 17. November 2020, 10:15 Uhr, Zoom   Yannis Bähni, Universität Augsburg   The Kepler problem (including Runge-Lenz vector,spherical Kepler problem) [2,3]     Dienstag, 24. November 2020, 10:15 Uhr, Zoom   Miguel Pereira, Universität Augsburg   Bi-Hamiltonian systems [4]     Dienstag, 01. Dezember 2020, 10:15 Uhr, Zoom     Marián Poppr, Universität Augsburg   Integrable billards [5]     Dienstag, 08. Dezember 2020, 10:15 Uhr, Zoom     Urs Frauenfelder, Universität Augsburg   The symmetric (Lagrange) spinning top via Lie algebras     Dienstag, 15. Dezember 2020, 10:15 Uhr, Zoom     Frederic Wagner, Universität Augsburg   Integrable systems and algebraic geometry I: Algebraic curves and their Jacobians [6, Appendix 4]     Dienstag, 22. Dezember 2020, 10:15 Uhr, Zoom     Frederic Wagner, Universität Augsburg   Integrable systems and algebraic geometry I: Algebraic curves and their Jacobians [6, Appendix 4]     Dienstag, 12. Januar 2020, 10:15 Uhr, Zoom     Alexandru Doicu, Universität Augsburg   Integrable systems and algebraic geometry II: Rigid body with a xed point [6, Chapter I]     Dienstag, 19. Januar 2020, 10:15 Uhr, Zoom     Shuaipeng Liu   Integrable systems and algebraic geometry III: The symmetric (Lagrange) spinning top [6, Chapter II]     Dienstag, 26. Januar 2020, 10:15 Uhr, Zoom     Julius Natrup, Universität Augsburg   Integrable Boltzmann system [9]     Dienstag, 02. Februar 2020, 10:15 Uhr, Zoom     Lei Zhao, Universität Augsburg   Projective dynamics

Literature:

[1] Arnold, Mathematical Methods of Classical Mechanics

[2] Albouy, Lecture Notes on the 2-Body Problem

[3] Zhao, A note on the passing time of the spherical Kepler problem

[4] Fernandes, Completely integrable bi-Hamiltonaian systems

[5] Tabachnikov, Geometrie und Billard

[6] Audin, Spinning tops

[7] Perelomov, Integrable systems and Lie algebras

[8] Hitchin, Segal and Ward, Integrable Systems

[9] Felder, Poncelet property and quasi-periodicity of the integrable Boltzmann system