Talk page
Title:
Renormalisation of generalised interval exchange maps (and foliations on surfaces)
Speaker:
Abstract:
Generalised interval exchange transformations (GIETs) are one-dimensional dynamical systems which naturally arise as first-return maps of flows/foliations on surfaces. Building upon work of Forni, Marmi-Moussa-Yoccoz and Khanin, I will attempt to draw a conjectural picture of a renormalisation theory that would give a satisfactory account of rigidity and geometric properties of GIETs. If time permits, I will try to highlight the important role that Lorentzian geometry should play in the development of such a theory.
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