Lectures related to Local structure of totally disconnected locally compact groups IV

Group Algebra: Maschke's Theorem

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

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.

Linearly reductive groups

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

Local structure of totally disconnected locally compact groups I

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Symmetry in Quantum Field Theory

Explores associativity, Lie algebra, Lie groups, relativity, and symmetry preservation in quantum field theory.

Lie Algebra: Representations and Symmetry Groups

Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.

Local structure of totally disconnected locally compact groups V

Explores the local structure of totally disconnected locally compact groups, focusing on GER and Mon (G), their properties, and faithful actions.

Homology of Riemann Surfaces

Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.

Proper Actions and Quotients

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

Quantum Field Theory: Poincaré Group

Explores Einsteinian relativity, the Lorentz group, and Poincaré transformations, emphasizing proper and non-orthochronous components.

Local structure of totally disconnected locally compact groups III

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

Moodle Environment

Explores the support services and environment of Moodle at EPFL, including group modes, admin tools, course management, and user interactions.

Dynamics on Homogeneous Spaces and Interactions with Number Theory

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

ServiceNow: Creating Dashboards and Reports

Explores creating dashboards in ServiceNow, focusing on advantages, transition from homepages, and important concepts like tasks and incidents.

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.

Bar Construction: Homology Groups and Classifying Space

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

Group Theory: Basics

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Universal Property of Groups

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

The Role of Symmetries

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Group Actions: Theory and Examples

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