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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Hall rays for Lagrange spectra of Veech surfaces -
Ulcigrai\, C (University of Bristol)
DTSTART;TZID=Europe/London:20140625T133000
DTEND;TZID=Europe/London:20140625T143000
UID:TALK53162AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/53162
DESCRIPTION:The Lagrange spectrum is a subset of the real line
which can be described in terms of badly approxim
able numbers. In joint work with Hubert and Marche
se\, we defined a generalization of Lagrange spect
ra for translation surfaces and badly approximable
interval exchange transformations. Both in the cl
assical case and in the case of Veech translation
surfaces\, Lagrange spectra can be also described
in terms of asymptotic depths penetration of hyper
bolic geodesics in the cusps of the associated hyp
erbolic surface (the Teichmueller curve). In joint
work with Mauro Artigiani and Luca Marchese\, we
show that high Lagrange spectra of Veech surfaces
can be calculated using a symbolic coding in the s
ense of Bowen and Series. We then prove that the L
agrange spectrum of any Veech translation surface
contains a semi-line\, i.e. a Hall's ray.\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
CONTACT:Mustapha Amrani
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