The goal is to describe the classification of rational homogeneous varieties, focusing on the main examples: projective spaces, grassmannians and smooth hyperquadrics.

Basic concepts of affine and projective algebric geometry. Depending on the students' background, we can start the course with a short introduction to projective geometry.

Projective varieties. Algebraic groups, Lie algebras and their representations. Grassmannians and smooth hyperquadrics. Schubert cycles.

On site

Oral presentation

P.D.1-1 - January