1. Algebraic Geometry (July 2022-September 2022)
Instructor: Mohamed Aliouane
Topics discussed:
- Affine Algebraic sets and Zarisky Topology,Hilbert Nullstallensatz
theorem, Affine Varieties, coordinate ring, irreducibility decomposition
theorem. - Zarisky topology for algebraic case, The Hilbert Nullstallensatz theorem
projective Case, Irreducibility. - Morphism and Rational maps.
- Dimensions and fundamental theorems.
Main reference: Lother Gottsche, lecture notes.
2. Complex Geometry (July 2022-October 2022)
Instructor: Ghani Zeghib
Notes can be found here.
3. Introduction to Riemannian Geometry (July 2022-October 2022)
Instructors: Lilia Mehidi, Abderrahim Mesbah, Fayssal Saadi
Topics discussed:
- Riemannian manifolds, affine connections, geodesics,
- Curvature, Jacobi fields and conjugate points,
- Lie groups, some hyperbolic geometry.
Main reference: Riemannian Geometry, by Manfredo De Carmo.
4. Algebraic Topology (February 2022-June 2022)
Instructor: Abderrahmane Belkacem
A summary of the content can be found here.
