Lectures related to Coxeter Groups: Elements, Numbers, and Planes

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

Introduces algebraic structures essential for understanding mathematical objects used in science and engineering.

Explores permutations preserving adjacency, linear transformations, groups, and sub-groups.

Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.

Explores the reasons behind the abundance of saddle points in deep learning optimization, emphasizing statistical and geometric arguments.