Some lecture notes

Here are some lecture notes as well as works based on assignments presented during my education process. Suggestions, comments, and corrections are very welcome. Please feel free to contact me in any case.

1. Master work: Some remarks about flat affine symplectic manifolds.

2. Riemannian submersions. A recorded talk about this survey is here.

3. Bott periodicity theorem.

4. Morse-Bott cohomology.

5. Ergodicity of Anosov diffeomorphisms (preliminary version).

6. Poisson-Lie groups and pseudo-differential symbols (preliminary version).