Simon Thomas: Some Consequences of Martin's Conjecture

Week 2, Friday June 26, 14:10-15:00

In this talk, I will explore some of the consequences of Martin's Conjecture on degree invariant Borel maps. These include the strongest conceivable ergodicity result for the Turing equivalence relation, as well as the statement that the complexity of a universal countable Borel equivalence relation always concentrates on a null set.