I- Algebraic Geometry (July 2022-September 2022) [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.
II- Complex Geometry (July 2022-October 2022) [Ghani Zeghib]: notes can be found here.
III- Differential Geometry (July 2022-October 2022) [Lilia Mehidi, Abderrahim Mesbah, Fayssal Saadi]: An introduction to various aspects of differential geometry, topics discussed include : Riemannian manifolds, geodesics, curvature, Lie groups, some hyperbolic geometry.
Main reference: Riemannian Geometry by Manfredo De Carmo.
IV- Algebraic Topology (February 2022-June 2022) [Abderrahmane Belkacem]: A summary of the content can be found here.