3 EC
Semester 2, period 6
5334ISIH3Y
| Owner | Master Mathematics |
| Coordinator | prof. dr. Nicolai Reshetikhin |
| Part of | Master Mathematics, year 1 |
A Hamiltonian system is dynamical systems on a symplectic manifold (phase space) where the trajectories are flow lines of a Hamiltonian vector field (generated by a function known as the Hamiltonian). The Hamiltonian system on a 2n-dimensional phase space is called integrable if the there are n conserved quantities (integrals). This notion admits an important generalization known as superintegrability (degenerate integrability). The course will focus on geometry of integrable system, on some important examples and on the construction of integrable systems from Poisson Lie groups.
See section "Literature on Integrable systems" on
my Berkeley website https://math.berkeley.edu/~reshetik/
When the course is successfully completed students are expected to learn the basics of classical integrable systems: elements of symplectic geometry with emphases on the Hamiltonian reduction, Liouville integrable Hamiltonian systems on symplectic manifolds, superintegrable systems (degenerate integrability), Poisson Lie groups, construction of integrable
systems from Poisson Lie groups.
Activity | Hours | |
Self study | 84 | |
Total | 84 | (3 EC x 28 uur) |
The programme does not have requirements concerning attendance (OER-B).
| Item and weight | Details |
|
Final grade |
Regular homework exercises and a final written exam.
The 'Regulations governing fraud and plagiarism for UvA students' applies to this course. This will be monitored carefully. Upon suspicion of fraud or plagiarism the Examinations Board of the programme will be informed. For the 'Regulations governing fraud and plagiarism for UvA students' see: www.student.uva.nl
| Weeknummer | Onderwerpen | Studiestof |
| 1 | ||
| 2 | ||
| 3 | ||
| 4 |