Lectures related to Points fixes et orbites

Explores group actions, fixed points, orbits, Equation of Class, and Burnside's Lemma.

Covers abelian groups, Sylow subgroups, and variants on beta action.

Explores subsets and subgroups related to group actions on sets.

Explores orbits in a G-ensemble, functions of fixed points, and G-equivariance.

Explores defining functors on morphisms, fixed points, orbits, equivariance, and composition preservation.

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

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

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

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Covers the concept of the renormalization group and the effective Hamiltonian.

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

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Covers the second and third properties of p-Sylow subgroups and their automorphisms.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Explores group actions on sets, orbits, fixed points, and classic results.

Explores the class equation and Burnside's lemma in group theory.

Explores examples of group actions on sets, emphasizing the utility of group actions to understand groups.

Explores subsets, subgroups, actions, fixed points, stabilizers, orbits, and bijections in group theory.

Explores group actions, subsets, points fixes, orbits, and stabilizers.

Explores the definition of orbits and fixed points of a G-object in any category, focusing on G-equivariant applications.