Found 2 relevant results in 3.21s where lecturer="Vladimir L. Popov"
Zariski topology. Hilbert's Nullstellensatz. Affine var. Regular fctns. Morphisms. Z-fctns. Products. Prevar., var. Complete and proj. var. Veronese embeddings, Segre var. Toric var. Rational maps. Birat. isomorphisms. Dimension. Finite morphisms. Intersection with a hypersurface. Dimension of fibers. Lines on surfaces. Tangent spaces. Singular points. Differential of a morphism. The 27 lines.
Introduction to the theory of linear algebraic groups. Lie algebras, the Jordan Chevalley decomposition, semisimple and reductive groups, root systems, Borel subgroups, classification of reductive groups and their representations.