UCLA Logic Colloquium, May 20

UCLA LOGIC COLLOQUIUM
Friday, May 20, 2005
4:00 p.m.
Mathematical Sciences 6627
UCLA

MATTHEW FOREMAN

(UC Irvine)

"AUTOMORPHISMS OF THE MEASURE ALGEBRA"

The measure-preserving transformations of the unit interval form a
Polish group. This group acts on the ergodic measure-preserving
transformations by conjugacy, and this action coincides with
isomorphism of measure-preserving transformations. The main result
of the talk is that this equivalence relation is complete analytic
and therefore not Borel. The argument involves randomized
cut-and-stack arguments. This is joint work with D. Rudolph and
B. Weiss.

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