Special Colloquium
Brandon Seward
Courant Institute
Bernoulli shifts and entropy theory
Abstract: In ergodic theory, one often studies measure-preserving actions of countable groups on probability spaces.
Bernoulli shifts are a class of such actions that are particularly simple to define, but despite several decades
of study some elementary questions about them still remain open,
such as how they are classified up to isomorphism. Progress in understanding Bernoulli shifts
has historically gone hand-in-hand with the development of a tool known as entropy.
In this talk, I will review classical concepts and results, which apply in the case where the
acting group is amenable, and then I will discuss recent developments that are beginning to illuminate
the case of non-amenable groups.
There will be tea in SEO 300 starting at 4:00.
Monday November 26, 2018 at 3:00 PM in 636 SEO