UCL - Differential topology

[MAT2430]

[30h + 15h] 5 credits

This course is not taught in 2009-2010

Teacher(s):

Language: French

Level: Second

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

Aims

The aim of the course is to present in details some important tools in differential topology. These tools should be useful to prepare the student to do research in topology, geometry, or mathematical physic. Also at least one interesting application of these tools should be given

Main themes

The themes may vary. For instance :- Morse theory with application to the study of geodesics ;- surgery theory and classification of smooth manifolds ;- knot theory and 3-manifolds ;-fibre bundles.

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

Precursorycourses A first course in differential topology. Some years a course in algebraic topology.
Evaluation Homework(s) plus an oral examination.
Support A book related to the theme of the year.