Lectures related to Group Theory: Actions and Stabilizers

Explores group homomorphisms, emphasizing surjective mappings and their impact on group questions.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

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

Covers the dynamics of discrete systems and the concept of orbits in Riemann varieties.

Explores concrete examples of group actions on sets, focusing on actions that do not change the set.

Covers active learning, video lectures, exercises, categories, group actions, and abelian groups.

Explores the construction of G-sets and left adjoint functors in category theory.

Covers group quotient, group actions, and functors connecting sets and G-sets.

Covers special cases in group theory, focusing on group actions and functors.

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