Fixed points, orbits, and stabilizers

Related lectures (30)

Page 2 of 3

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

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

Introduces projective, quasi-projective, and algebraic varieties, emphasizing the importance of regular functions in defining morphisms.

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

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

Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.

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

Explores adjunctions, emphasizing trivial and application quotient cases in functors, orbits, and fixed points.

Explores fixed points in G-sets, applications between sets, and the construction of orbits.

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