Geometry, Topology and Dynamics Seminar
Disheng Xu
University of Chicago
Pathology foliations and centralizer of diffeomorphisms
Abstract: In 1990s, Shub and Wilkinson constructed a famous example of diffeomorphism f
with non-absolutely continuous invariant foliation W, i.e. there is a full Lebesgue volume set S which intersects each leaf of W on a zero leaf-measure set (or even a finite set).
In this talk we will show that Shub-Wilkinson example has virtually trivial centralizer,
i.e. for any g commutes with f, there exist non zero pair (k,l) such that f^k g^l=id.
This is a baby example of the joint work with D. Damjanovic and A. Wilkinson (in preparation).
Monday October 8, 2018 at 3:00 PM in 636 SEO