Anthony Sanchez

PDL C36
Abstract: Consider a partition of the unit interval and shuffle the pieces of the partition. This resulting map is called an interval exchange transformation and it generalizes a circle rotation. This extremely simple map turns out to have many connections to other important areas of mathematics.
In this friendly talk we recall some notions from dynamics in the context of interval exchange maps. In the last part of the talk we consider the connection between interval exchange maps and translation surfaces and we review how some of the work of recent Fields medalists are related to these topics.
No background in dynamics is assumed and the talk should be accessible to any graduate student.