UCL - Complex geometry

[MAT2260]

[45h] 6 credits

Teacher(s): Pierre Van Moerbeke

Language: French

Level: Second

Aims
Main themes
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)

Aims

The course aims at studying some current topics in the area of mathematical physics or dynamical systems linked with complex algebraic geometry or complex analysis.

Main themes

Some possible topics :- Riemann surfaces and theory of solitons.- Differential equations in the complex domain, integrability and non-integrability of Hamiltonian systems.- Riemann-Hilbert problems and random matrices.

Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)

Precursorycourses MAT 1222 Complex Analysis (requested)MAT 2420 Elliptic curves (optional)
Evaluation Oral examination.
Support Notes and recent articles.
Teaching team Course 3 h./week.