Period of duration of course
Requires basic notions of scheme theory. For PhD and Master students.
• The functorial point of view in algebraic geometry.
• Affine group schemes over a field. Hopf algebras.
• Homomorphisms. Faithful flatness.
• Representations. Existence of faithful representations.
• Descent theory.
• Existence of quotients.
• Group schemes of multiplicative type.
• Unipotent group schemes.
• Solvable group schemes.
Teaching the theory of group schemes.