G-modules and G-varieties

Related lectures (31)

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Explores chain conditions in module theory, emphasizing Noetherian modules and stabilizing sequences of submodules.

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.

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

Discusses linearly reductive groups and their properties, focusing on completely reducible representations and equivalent modules.

Explores group actions on varieties, including orbits, stabilizers, and G-invariant morphisms.

Explores the differential of group actions on vector spaces and the behavior of orbit maps.

Explores automorphisms of projective varieties, discussing isomorphism between complements and key observations on dimensions and examples.

Explores the concept of diagonalizable groups and their properties in linear algebraic groups.

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

Generalizes group actions beyond sets, providing a comprehensive framework for various mathematical contexts.