Event Type:

Number Theory Seminar

Date/Time:

Tuesday, February 8, 2022 - 10:00 to 11:00

Guest Speaker:

Institution:

Université Aix-Marseille

Abstract:

In this talk the goal is to present new results and questions

on an old idea initially due to R.Bowen and C.Series. In their paper,

back to 1979, they defined a single map associated to a group. This

particular map satisfies some nice dynamical properties, relating the

dynamics with the group.

I will discuss new constructions and results based on this idea. The

groups in question are, unfortunately, limited to surface groups, i.e.

fundamental group of a surface.

The associated maps belong to a class that is not so studied: expanding piecewise homeomorphisms of the circle.

The questions go in both directions: group and dynamics and there are

many challenges that I will try to explain.

Host: