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FIELD Math:Topology
DATE July 01 (Wed), 2020
TIME 10:00-11:30
PLACE online
SPEAKER Andres Navas
HOST Kim, Sang-hyun
INSTITUTE Universidad de Santiago de Chile
TITLE Distorted diffeomorphisms and regularity
ABSTRACT

The goal is to deal with the following question: for a compact manifold M, does there exist a diffeomorphism that is distorted in the group of C^r diffeomorphisms yet undistorted in the group of C^s diffeomorphism, where 1<= r < s ? Although the answer seems to be positive, it seems hard to build explicit examples (these diffeomorphisms necessarily have zero entropy). We will provide such examples for the closed unit interval for r = 1 and s = 2. The distortion part of the proof uses standard techniques on centralizers; the C^2 part uses recent work with Helene Eynard on the relation between the Mather invariant and asymptotic distortion of 1-dimensional maps.

* This talk is a part of the online seminar series "Virtual Seminar on Geometry and Topology" using Zoom. To participate this seminar, please follow links at https://visgat.cayley.kr

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