Large groups like diffeomorphism groups have rich algebraic, dynamical and topological properties. Studying these groups from any of these perspectives for an example could be a project.

• References: Groups of circle diffeomorphisms by Andres Navas; E. Ghys, Homeomorphisms of circle
• Prerequisites: Group theory, real analysis, point set topology and basic algebraic topology and acquaintance with manifolds
• Meetings: At least once every two weeks from Sept 1, 2022 to Dec 10, 2022
• Type: Reading
• Size: Single student

Instructor: Sam Nariman, Department of Mathematics, Purdue University