# Neil MacVicar (Queen's University)

Date

Friday September 20, 202411:30 am - 12:30 pm

Location

202 JEFFERY HALLEvent Category

**Dynamics, Geometry and Groups Seminar
Friday, September 20th, 2024**

**Time:** 11:30 a.m. **Place:** Jeffery Hall, Room 202

**Speaker:** Neil MacVicar (Queen's University)

**Title:** When are intersections of Cantor sets self-similar?

**Abstract:** Let C be the classical middle thirds Cantor set. The set C is an example of a self-similar set. In layman's terms, it is made up of smaller versions of itself. Given a real number t, we will look at conditions on t given by Deng, We, and Hen (2008) that imply that the intersection of C and C + t is also self-similar. We will see how their techniques have been generalized for other Cantor sets.