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