Thierry Giordano: $\Bbb Z^d$-odometers and cohomology

\(\Bbb Z\)-odometers are well-known examples of minimal Cantor systems. In particular, any two orbit equivalent \(\Bbb Z\)-odometers. In this talk, I will review the construction of \(\Bbb Z^d\)-odometers and in particular give two equivalent description of \(\Bbb Z^d\)-odometers to construct orbit equivalent \(\Bbb Z^2\)-odometers which are not conjugate. This is joint work with I. Putnam and C. Skau.