Title: Rigidity theorems for reducible systems
Speaker: Jonathan DeWitt
Speaker Info: U of Maryland
Brief Description:
Special Note: The pre-seminar talk will be 3- 4 pm and the main talk will be 4 - 5 pm
Abstract:
Although many rigidity theorems for hyperbolic systems require irreducibility hypotheses, reducible systems may still be rigid. Such hypotheses typically preclude a system from having invariant subsystems such as non-trivial invariant tori. Reducible systems that are rigid may be rigid because they are conformal or, more generally, because they have exactly one Lyapunov exponent. In this talk, we discuss some examples of rigidity for linear cocycles over hyperbolic systems and Anosov automorphisms. We emphasize changes in behavior depending on the reducibility and conformality of the system being studied. (The pre-seminar talk will give background for the results discussed in the main talk.)Date: Tuesday, January 17, 2023