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.

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Plan of talks

Dienstag, 03. November 2020, 10:15 Uhr, Zoom yyyy Kai Cieliebak, Universit?t Augsburg ? Organisational Meeting ? Dienstag, 10. November 2020, 10:15 Uhr, Zoom ? Evgeny Volkov, Universit?t Augsburg ? Arnold-Liouville theorem [1] ? Dienstag, 17. November 2020, 10:15 Uhr, Zoom ? Yannis B?hni, Universit?t Augsburg ? The Kepler problem (including Runge-Lenz vector,spherical Kepler problem) [2,3] ? ? Dienstag, 24. November 2020, 10:15 Uhr, Zoom ? Miguel Pereira, Universit?t Augsburg ? Bi-Hamiltonian systems [4] ? ? Dienstag, 01. Dezember 2020, 10:15 Uhr, Zoom ? ? Marián Poppr, Universit?t Augsburg ? Integrable billards [5] ? ? Dienstag, 08. Dezember 2020, 10:15 Uhr, Zoom ? ? Urs Frauenfelder, Universit?t Augsburg ? The symmetric (Lagrange) spinning top via Lie algebras ? ? Dienstag, 15. Dezember 2020, 10:15 Uhr, Zoom ? ? Frederic Wagner, Universit?t 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, Universit?t 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, Universit?t 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, Universit?t Augsburg ? Integrable Boltzmann system [9] ? ? Dienstag, 02. Februar 2020, 10:15 Uhr, Zoom ? ? Lei Zhao, Universit?t 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