Matthew Foreman : Classifying Diffeomorphisms of the Torus

Posted by Isaac Goldbring , part of the Departmental Colloquium.

At

April 4, 2014, 3 p.m.

In

SEO 636

Abstract

This talk describes joint work with with B. Weiss showing that it is impossible to classify diffeomorphisms of the torus up to conjugacy by measure preserving transformations. A new functor is presented that maps odometer based transformations and their joinings to transformations based on the circle and their joinings. The talk will point out connections with the problem of classifying diffeomorphisms up to conjugation by homeomorphisms.