Event time:
Monday, September 16, 2013 - 12:15pm to 1:15pm
Location:
LOM 205
Speaker:
Zhiren Wang
Speaker affiliation:
Yale
Event description:
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.