14th International Workshop in Set Theory
9 – 13 October, 2017

Scientific & Organizing Committee

Mirna Dzamonja (University of East Anglia)
Menachem Magidor (Hebrew University of Jerusalem)
Boban Velickovic (Université Paris Diderot)
Hugh Woodin (
Harvard University)

The International Luminy Workshops in Set Theory have been taking place at CIRM-Luminy since 1990.

The goal of these meetings is the dissemination of some of the most important recent results in set theory, as well as the structuring of the scientific community in this subject. These meetings are of very high scientific level, and generally include around 10 invited ICM speakers and researchers from the best universities around the world, as well as around 10 young promising researchers. They play an important role in the attractiveness of France and even Europe in this subject. They also help the set theoretic community, which is spread out in various parts of the world.

In terms of organisation, the program committee chooses 2 or 3 main themes and invites renowned researchers to give mini courses on these topics. It also selects the participants, taking into consideration both geographic and thematic diversity. We also try to vary the participants in such a way that over a cycle of 3-4 meetings every active researcher in this subject has a chance to be invited. The scientific program is planned by the participants themselves.

In this workshop, we plan to hold two mini courses, one in pure set theory and the other on the interactions with other areas of mathematics. In the ‘pure’ part, we will concentrate on new exciting developments in singular cardinal combinatorics. The most exciting recent results in this subject concern the tree property and other reflection properties as successors of singular cardinals. The other mini course will be on the interactions between set theory and computability and/or model theory.


Arthur W. Apter (CUNY (Baruch College and the Graduate Center)   Tall, Strong, and Strongly Compact Cardinals​   (pdf)
Omer Ben Neria (UCLA)   On Singular Stationarity   (pdf)
Jörg Brendle (Kobe University)   Rearrangements and Subseries​   (pdf) 
Natasha Dobrinen (University of Denver)   The universal triangle-free graph has finite big Ramsey degrees   (pdf)
Vera Fischer (University of Vienna)   Bounding, splitting and almost disjointness can be quite different   (pdf)
Laura Fontanella (Université Aix Marseille)   From Forcing to Realizability   (pdf)

Matthew Foreman  (UC Irvine)   An independence result involving diffeomorphisms of the torus
Su Gao (University of North Texas)    Non-Archimedan Abelian Polish Groups and their Actions   (pdf)
Joel David Hamkins (City University of New York) The hierarchy of second-order set theories between GBC and KM and beyond​   (pdf)
Piotr Koszmider (IMPAN)   Noncommutative thin-tall algebras​   (pdf)
John Krueger (University of North Texas)   Club isomorphisms on higher Aronszajn trees   (pdf)
Dominique Lecomte (Université Paris 6)   Borel complexity of equivalence relations   (pdf)
Heike Mildenberger (Albert-Ludwigs-Universität Freiburg)   Local Ramsey Spaces in Matet Forcing Extensions​   (pdf)

Justin Tatch Moore (Cornell University)   On non sigma-scattered orders​
Luca Motto Ros (Università degli Studi di Torino)   Generalized descriptive set theory and classification   (pdf)
Itay Neeman (UC Los Angeles)   Embedding theorem and regularity properties under AD+   (pdf)
Assaf Rinot (Bar-Ilan University)   Distributive Aronszajn trees   (pdf)
Hiroshi Sakai (Kobe University)   On models generated by uncountable indiscernible sequences​   (pdf)
Ralf Schindler (Universität Münster)   Varsovian models with more Woodin cardinals
Philipp Schlicht (Universität Bonn)   The Hurewicz dichotomy for definable subsets of generalized Baire spaces   (pdf)
Dima Sinapova (University of Illinois at Chicago)   Prikry type forcing and combinatorial properties
Daniel T. Soukoup (University of Vienna)   Monochromatic sumsets for colorings of R   (pdf)
Simon Thomas (Rutgers University) The isomorphism and bi-embeddability relations for countable torsion abelian groups   (pdf)
Todor Tsankov (Université Paris 7)   Universal minimal flows relative to a URS
Spencer Unger (Tel Aviv University)   Successive failures of approachability  
Matteo Viale (Università di Torino)   An overview on category forcings
Alessandro Vignati (Université Paris Diderot)  Set theory and C∗-algebras: automorphisms of continuous quotients   (pdf)

Philip Welch (University of Bristol)    Characterising the Härtig Quantifier model   (pdf)
Lyubomyr Zdomskyy (TU Wien)   Vitali-Hahn-Saks property of Boolean algebras in forcing extensions​
​​Martin Zeman (UC Irvine)    An iteration strategy for the model Kc