# DSNT Seminar: Cocycles of circle diffeomorphisms

• Date:
• Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 room 64119
• Lecturer: Michal Rams (IMPAN)
Abstract: I will present an introduction to the world of cocycles of circle diffeomorphisms. The system is simple: given a finite family $\{f_i\}_{i=1}^n$ of $C^1$ diffeomorphisms of a circle, we consider the dynamical system $F:S^1 \times \Sigma, F(x,\xi) = (f_{\xi_0}(x), \sigma\xi)$ (where $\Sigma = \{1,\ldots,n\}^{\mathbb Z}$). In simple words, we apply the maps $f_i$ in any order we want.