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Wintersemester 2020/2021

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
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Dienstag, 10. November 2020, 10:15 Uhr, Zoom
? Evgeny Volkov, Universit?t Augsburg
? Arnold-Liouville theorem [1]
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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]
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Dienstag, 01. Dezember 2020, 10:15 Uhr, Zoom ?
? Marián Poppr, Universit?t Augsburg
? Integrable billards [5]
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Dienstag, 08. Dezember 2020, 10:15 Uhr, Zoom ?
? Urs Frauenfelder, Universit?t Augsburg
? The symmetric (Lagrange) spinning top via Lie algebras
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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]
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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]
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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]
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Dienstag, 19. Januar 2020, 10:15 Uhr, Zoom ?
? Shuaipeng Liu
? Integrable systems and algebraic geometry III: The symmetric (Lagrange) spinning top [6, Chapter II]
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Dienstag, 26. Januar 2020, 10:15 Uhr, Zoom ?
? Julius Natrup, Universit?t Augsburg
? Integrable Boltzmann system [9]
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Dienstag, 02. Februar 2020, 10:15 Uhr, Zoom ?
? Lei Zhao, Universit?t Augsburg
? Projective dynamics
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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

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