Spring 2024
General Information
Syllabus
Exams
|
Week |
Date |
|
|
1 |
January-22 (Monday) |
Reminder of the Lagrangian
mechanics |
|
1 |
January-24 (Wednesday) |
Reminder of the Lagrangian
mechanics (cont.) |
|
2 |
January-29 (Monday) |
Classical Hamiltonian reduction |
|
2 |
January-31 (Wednesday) |
Classical Hamiltonian reduction(cont.) |
|
3 |
February-05 (Monday) |
Integrable systems, Liouville’s theorem |
|
3 |
February-07 (Wednesday) |
Calogero-Moser systems via reduction |
|
4 |
February-12 (Monday) |
Calogero-Moser systems (cont.) |
|
4 |
February-14 (Wednesday) |
Spinning tops and Lax pairs. |
|
5 |
February-19 (Monday) |
Spinning tops(cont). |
|
5 |
February-21 (Wednesday) |
The Nonlinear Schrödinger Equation |
|
6 |
February-26 (Monday) |
Zero Curvature Condition as the Lax equation |
|
6 |
February-28 (Wednesday) |
Local Integrals of the Motion |
|
7 |
March-04 (Monday) |
The r-Matrix Method , Lie Dialgebras and Involutivity Theorem |
|
7 |
March-06 (Wednesday) |
Factorization Theorem and Hamiltonian Reduction |
|
8 |
March-11 (Monday) |
No classes in session |
|
8 |
March-13 (Wednesday) |
No classes in session |
|
9 |
March-18 (Monday) |
Lie Dialgebras and their Doubles |
|
9 |
March-20 (Wednesday) |
Classical r-matrices Related to Affine Lie Algebras |
|
10 |
March-25 (Monday) |
Poisson Lie Groups |
|
10 |
March-27 (Wednesday) |
Poisson
Lie Groups(cont.) |
|
11 |
April-01 (Monday) |
Duality Theory for Poisson Lie Groups |
|
11 |
April-03 (Wednesday) |
Duality Theory for Poisson Lie Groups (cont.) |
|
12 |
April-08 (Monday) |
Lax Equations on Lie groups |
|
12 |
April-10 (Wednesday) |
Lax Equations on Lie groups (cont.) |
|
13 |
April-15 (Monday) |
Zero Curvature Equations and Current Algebras |
|
13 |
April-17 (Wednesday) |
Zero
Curvature Equations and Current Algebras(cont.) |
|
14 |
April-22 (Monday) |
Zero
Curvature Equations and Current Algebras(cont.) |
|
14 |
April-24 (Wednesday) |
Zero
Curvature Equations and Current Algebras(cont.) |
|
15 |
April-29 (Monday) |
Virasoro Algebra and Schroedinger Operators on the Circle |
|
15 |
May-01 (Wednesday) |
Virasoro Algebra and Schroedinger Operators on the Circle (cont) |