Set theory grew out of analysis through Georg Cantor's work on sets of uniquness of trigonometric series. Ever since, the two subjects have had a special relationship, at times close and at others distant, but there has always existed a possibility of interaction with the potential of enriching both subjects. In recent years there has been a number of important developments on the confluence of the two subjects.
Examples include Gowers' dichotomy theorem in functional analysis which was motivated by the Galvin Prikry partition theorem in infinitary combinators, the theorem of Harrington, Kechris, Louveau which extends the well known Glimm Effros dichotomy on the structure of the orbit spaces of a transformation group and which gave rise to a rich theory of Borel equivalence relations, the recent solution of Talagrand of the famous Control Measure Problem which has numerous ramifications for the theory of Boolean algebras and forcing, etc.
The goal of this conference is to investigate this interactions between the two subjects by bringing together a number researchers from set theory and analysis. The intention is that the talk should be accessible to the specialists from the other subjects. We are particularly interested in exploring new connections and we plan to hold a special problem session the last day of the conference.
This meeting is organized in conjunction with the conference Mathematics and its applications
which will take place in Torino July 3-7 2006.
Participants of this conference as well as all other mathematicians with interest in Set Theory and/or Analysis are cordially invited to participate.