Lectures related to Remarks about the Quotient

Explores the embedding of chi-varieties into vector spaces with linear actions.

Covers linear algebraic groups, including special sets and matrix examples.

Introduces the regular representation, a key tool for studying group actions on varieties.

Explores a criterion for computing quotients in algebraic geometry, emphasizing the importance of normality and g-invariant morphisms.

Explores various directions for studying algebraic groups and offers references for further exploration.

Introduces affine varieties and covers morphisms between them and their coordinate rings.

Covers invariants and dimensions of projective varieties, emphasizing their importance.

Covers adjunctions, projective varieties, regularity, and valuative criteria in algebraic geometry.

Explores the Albanese morphism of varieties with Kodaira dimension zero in positive characteristic.

Covers the GAGA principle, stating that any morphism on projective varieties is constant.