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UID:2022@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20171124T110000
DTEND;TZID=Europe/Paris:20171124T120000
DTSTAMP:20171109T100000Z
URL:https://www.i2m.univ-amu.fr/evenements/rauzy-veech-groups-of-flat-surf
 aces/
SUMMARY: (...): Rauzy-Veech groups of flat surfaces
DESCRIPTION:: The Rauzy–Veech induction is a powerful renormalization pro
 cedure for (half-)translation flows. By tracking the changes it induces in
  homology\, we define the Rauzy–Veech monoid (or group) of a connected c
 omponent of a stratum of Abelian or quadratic differentials. This monoid w
 as proven to be pinching and twisting by Avila and Viana\, which implies t
 he Kontsevich–Zorich conjecture stating the simplicity of the Lyapunov s
 pectrum of almost every translation flow with respect to the Masur–Veech
  measures.-In this talk\, I will present a full classification of the Rauz
 y–Veech groups of Abelian strata: they are explicit finite-index subgrou
 ps of their ambient symplectic groups. This is strictly stronger than pinc
 hing and twisting. Moreover\, some techniques can be extended to the quadr
 atic case to prove that the indices of the Rauzy–Veech groups of certain
  connected components of quadratic strata are also finite. This proves tha
 t the “plus” Lyapunov spectra of such strata is simple\, which was not
  previously known.-http://www.researchgate.net/profile/Rodolfo_Gutierrez-R
 omo
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