Ernest Schimmerling

Mid-Atlantic Mathematical Logic Seminar

Alain Louveau (Paris 6)

Complete analytic equivalence relations

In this talk, I will present a joint work with Christian Rosendal, which provides some natural examples of classification problems, both in Model theory and in Analysis, which happen to have maximum complexity : they correspond to complete (i.e maximum in the Borel reducibility order) analytic equivalence relations. The talk will mainly concentrate on the techniques used to establish such completeness results.