The aim of the course is to develop some advanced themes in algebraic topology. At the end of the course the student should be proposed to start research in this area.
Main themes
The subjects will vary every year, so that graduate students can learn various subjects during their thesis. For instance :- homological and homotopical algebra ;- rational homotopy theory ;- characteristic classes of vector bundles ;- Goodwillie calculus
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Precursorycourses A first course in algebraic topology.
Support Homeworks plus an oral examination.
Teaching team A book related the theme of the year.