This is the old version of the CRM site. Please use the new site on the page crmdegiorgi.sns.it

Continued Fractions, Interval Exchanges and Applications to Geometry

Diagonal changes for translation surfaces

speaker: Corinna Ulcigrai (University of Bristol)

abstract: We describe a geometric algorithm that generalizes the classical continued fraction algorithm for the torus to all translation surfaces in hyperelliptic strata. The diagonal changes algorithm provides a geometric realization for the natural extension of the renormalization introduced by S.~Ferenczi and L.~Zamboni for the corresponding interval exchange transformations. We show that this algorithm produces all saddle connections which are best approximations in a geometric sense and can be used to produce a list of systoles along a Teichmueller geodesics and of pseudo-Anosov maps. This is joint work with Vincent Delecroix.

timetable:
Wed 12 Jun, 9:10 - 10:00, Aula Dini
<< Go back