Comeager Isomorphism Classes in Zero-dimensional Dynamics

Abstract: It is often possible to parametrize a given class of dynamical systems by elements of a Polish space and then it becomes natural to ask what properties hold "generically", i.e., for a comeager set of systems. The most extreme situation is when there is a single comeager isomorphism class: that is, the generic properties are captured by a single system. I will survey what is known about this problem in zero-dimensional topological dynamics, that is, countable group actions on the Cantor space. I will focus on some recent joint work with Michal Doucha and Julien Melleray concerning minimal systems.

Mathematics

Audience: researchers in the topic

Comments: For the Zoom meeting passcode, please contact the co-organizer, Oğuz Şavk.

METU Mathematics General Seminar