Lectures related to Self-similar groups II

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

Explores the torus, linear groups, stability properties of matrices, and homomorphisms.

Explores linear projective groups, quaternions, subgroup generation, and normality.

Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.

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

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Showcases examples of group actions on vector spaces and topological spaces.

Explores isotypic decomposition in finitely generated C-algebras and its implications, including G-stable ideals and linear projections.

Explores symplectic groups, linear transformations preserving non-degenerate alternating bilinear forms on vector spaces.