The course "Algebra and geometry" splits into two parts. In the first part, we propose a geometric point of view on the differential calculus studied in the first semester. This includes an introduction to manifolds and a qualitative study of differential equations on manifolds.
In the second part, we focus on specific groups of linear transformations arising from geometry and theoretical physics. We give in particular a very detailed description of their structures and links between them.
- Teaching coordinator: Samuel Amstutz