Dimensions associated with surjective local homeomorphisms on compact metric spaces

Sihan Wei  (University of Glasgow)

15:25-16:25,July 31,2023   ĸ¥ (Wenfu Building) 219


In this talk, I would like to introduce some of dimensions associated with an aperiodic surjective dynamical system, motivated by the previous work of Zhuofeng He and the speaker, and also the work of D. Kerr, G. Yu and many other their collaborators. These dimensions are natural extending of those of group actions on compact metric spaces, including the Rokhlin dimension, tower dimension, amenability dimension and asymptotic dimension. This is a joint work with Zhuofeng He.

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