
Explore C*-bundles containing Effros-Shen algebras, examining homeomorphisms, rational numbers, and continuous fractions in this advanced mathematical lecture.

Explore R-focal actions of groups on the real line, examining examples and applications to understand group action spaces in homeomorphisms.

Explore representations in Homeo_+(S^1) and their role in verifying left-orderability of 3-manifold groups, with applications to the L-space conjecture and taut foliations in various topological settings.

Explore cube complexes and their application to block mapping class groups, examining finiteness properties and connections to Thompson's groups in surface topology.