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Lecture
Local structure of totally disconnected locally compact groups III
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Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Local structure of totally disconnected locally compact groups I
Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.
Local structure of totally disconnected locally compact groups II
Explores the local structure of totally disconnected locally compact groups, covering commensurated subgroups, completions, local automorphisms, and the quasi-centre.
Proper Actions and Quotients
Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.
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Endomorphisms and automorphisms of totally disconnected locally compact groups I
Covers the definitions and basic results of endomorphisms and automorphisms of totally disconnected locally compact groups.
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Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Group Theory Basics: Subgroups and Homomorphisms
Introduces subgroups and homomorphisms in group theory, with examples for illustration.
