Continued Fractions, Interval Exchanges and Applications to Geometry
timetable:
Wed 12 Jun, 9:10 - 10:00, Aula Dini
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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
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