Thursday April 8th, 2021 | |
| Time: | 4:30 PM |
| Title: | Symmetries in symbolic dynamics |
| Speaker: | Bryna Kra, Northwestern University |
| Abstract: | |
| Originating in the work of Hadamard in the 1890's on the coding of geodesic flow, symbolic dynamics has become a key tool for studying topological, smooth, and measurable dynamical systems. The automorphism group of a symbolic system capture its symmetries, reflecting the dynamical behavior and the complexity of the system. I will give an overview of relations among dynamical properties of the system (such as periodicity, minimality and transitivity), algebraic properties (such as the automorphism group), and combinatorial problems, all of which quickly lead to open questions. | |