Local structure of totally disconnected locally compact groups I

This lecture by the instructor covers the local structure of totally disconnected locally compact groups, focusing on properties such as Hausdorffness, homogeneity, and local properties. The lecture delves into the topology of groups, closed subgroups, and compatibility with different group structures. It also explores the concept of profinite groups and their properties, including finite index subgroups and commensurability. The lecture concludes with applications of the discussed concepts to permutation groups and their topologies.