Dynamical Systems Seminar

Title: Multi-invariant measures and subsets on nilmanifolds
Speaker: Zhiren Wang
Speaker Info: Yale University
Brief Description:
Special Note:

Given a Z^k action on a compact nilmanifold by automorphisms without rank 1 factor actions, we show that any ergodic invariant measure either is the uniform measure or projects to a zero entropy factor modulo finite index modification. We will discuss an analogous statement for invariant subsets as well. Finally, we will display an ergodic invariant measure with positive entropy, such that any finite index ergodic component is not translation invariant by any non- trivial subgroup of the covering nilpotent group.
Date: Tuesday, October 08, 2013
Time: 4:00PM
Where: Lunt 105
Contact Person: Prof. Bryna Kra
Contact email: kra@math.northwestern.edu
Contact Phone: 847-491-5567
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