Jörg Brendle, Alan Dow, Sy David Friedman, Menachem Magidor
Program
This year of the tutorial lectures (each tutorial comprising of several 50 minute lectures) were devoted to advanced topics of Set Theory and were delivered by leading experts in the respective fields. Professor Menachem Magidor (Hebrew University, Jerusalem) prepared an introduction to the newest developements of PCF theory and its applications in five lectures Professor Alan Dow (University of North Carolina at Charlotte) had three lectures about the continuous images of ω*, the Čech-Stone compactification of the natural numbers and about related combinatorial problems. Professor Jörg Brendle (Kobe University, Japan) had a five part tutorial on advanced forcing techniques with an emphasis on different aspects of the iteration theory illustrated by new and old examples. Professor Sy David Friedman (Kurt Gödel Research Center, Vienna) concentrated on forcings preserving large cardinals in three lectures.
The research presentations were given mainly by younger participants who presented their newest results. The topics included General Topology, Set Theory, Boolean Algebras and Forcing, Measure Theory, Descriptive Set Theory, Functional spaces and the Theory of Ultrafilters.
Each day participants had time to discuss their work with colleagues. The topics of the discussions were diverse and included recent developments in set theory (research into P-ideals, generalization of cardinal characteristics of the continuum to larger cardinals, recent trends in set theoretic topology, automorphisms of ω* etc.)
