Friday March 24th, 2023 | |
Time: | 2:30 PM |
Title: | Minimal sets of regular Denjoy-like maps |
Speaker: | Sergiy Merenkov, City College of New York and CUNY Graduate Center |
Location: | Math P-131 |
Abstract: | |
I will discuss how regularity of invertible self-maps of certain manifolds influences the geometry of the corresponding minimal sets. A particular attention will be given to smooth and quasiconformal homeomorphisms of $n$-tori, $n≥ 2$, and hyperbolic surfaces. The results to be presented are higher dimensional versions of Denjoy's theorem on topological conjugacy for circle diffeomorphisms. |