Introduction to Circular Orderings - Lecture 4

Introduction to Circular Orderings - Lecture 4

Explore the algebraic and combinatorial foundations of circularly-orderable groups in this fourth lecture of a comprehensive series. Delve into the relationship between cohomology class properties and circular ordering characteristics, examining how these elements influence group behavior. Investigate the obstruction spectrum of circularly-orderable groups and analyze direct products within this context. Engage with challenging exercises, including open problems, to deepen understanding of the subject matter. While some interplay with Adam Clay's minicourse on left-orderability is present, the majority of the content remains self-contained, making it accessible for those focusing solely on circular orderings.