Event Type:

Number Theory Seminar

Date/Time:

Tuesday, April 28, 2020 - 10:00 to 10:50

Location:

zoom

Abstract:

The Sierpinski carpet is a generalization to two dimensions of the Cantor set. In this talk, we outline a construction of Boronski and Oprocha of a self-homeomorphism on the carpet beginning from a self-map of the torus. Then we give a remark on how we generalize their construction to begin with maps on a certain class of surfaces of higher genus. If time permits, we will also discuss basic properties of the resulting dynamical systems.

Host: