Continued Fractions, Interval Exchanges and Applications to Geometry

Jun 11 2013 - 00:00
Jun 14 2013 - 23:59

Centro di Ricerca Matematica Ennio De Giorgi, Palazzo Puteano, Piazza dei Cavalieri 3, PISA, Italy

Short description of the event: 

The workshop will focus on the interplay between dynamical systems and arithmetic, and in particular on the study of arithmetic algorithms of significance in dynamics and geometry.

Registration is free. Participants are requested to register on the website of the conference: whence further details and updates can be retrieved as well.

Some funds are available to offer financial support to a number of selected young researchers and students for their participation in the Workshop.

Planning activities include a few contributed talks. Those who wish to propose a talk should send title and abstract to

for Application for financial support and talk proposal: March 31th 2013
for Registration: May 25th 2013

Since the discovery of a relation between the continued fraction algorithm and the geodesic flow on the modular surface, a vast field of research has developed whose main goal is to understand the dynamics of geometric flows in terms of discrete arithmetic algorithms. Of particular importance in this picture are interval exchange transformations, which code the Teichmuller geodesic flow. In the workshop, we will discuss recent developments in the metric theory of continued fractions and their various generalizations (one- and multidimensional), as well as interval exchange maps and their applications to Teichmuller theory.