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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers fundamental concepts in group theory, focusing on group actions, fixed points, and orbits. It explains the stabilizer of a point, decomposing a set into disjoint orbits, and the relationship between orbits and stabilizers. Additionally, it introduces the Equation of Class and Burnside's Lemma, providing insights into the connection between orbits and sets of fixed points. The presentation concludes with a categorical perspective on group actions, offering a comprehensive overview of these mathematical structures.