Event Type:

Number Theory Seminar

Date/Time:

Tuesday, January 20, 2015 - 16:00 to 17:00

Location:

Kidder 350

Local Speaker:

Abstract:

Regular continued fractions are closely related to the modular group of 2x2 integral matrices of determinant 1. Indeed, as a dynamical system, the related interval map is a so-called factor of geodesic flow on the unit tangent bundle of the modular surface. With Arnoux, we answered a question of Luzzi-Marmi, showing that this is also true for a particular infinite family of continued fractions. I'll sketch the main ideas of the proof.