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ESI workshop on
large cardinals and descriptive set theory

Vienna, June 14 – 27 2009

Program Committee: S. Friedman (Universität Wien, Austria)
M. Goldstern (TU Wien, Austria)
R. Jensen ( Humboldt-Universität, Germany)
A. Kechris (Caltech, USA)
W.H. Woodin (UC Berkeley, USA)

Monday, June 15

09:15-09:40
Matteo Viale: Some questions on the models of MM
COFFEE BREAK
10:05-10:55
Lajos Soukup: On properties of families of sets
11:10-11:35
Farmer Schlutzenberg: Homogeneously Suslin sets in mice with Woodin cardinals
11:45-12:10
Radek Honzik: Large cardinals and the continuum function
LUNCH BREAK
14:10-15:00
John Krueger: The Weak Reflection Principle Versus the Reflection Principle
15:15-16:05
Sakae Fuchino: Fodor-type reflection principle and its "mathematical" characterizations
COFFEE BREAK
16:30-16:55
Thomas Johnstone: Substituting Supercompactness by Strong Unfoldability
17:05-17:30
Katherine Thompson: Nonexistence of universal models at the successors of singular strong limit cardinals

Tuesday, June 16

08:50-09:40
Paul Larson: Universally measurable sets in generic extensions
COFFEE BREAK
10:05-10:55
Jörg Brendle: Cardinal invariants of analytic quotients
11:10-11:35
Daisuke Ikegami: Real Blackwell Determinacy
11:45-12:10
Dima Sinapova: Exploring Singular Cardinal Combinatorics
LUNCH BREAK
14:10-15:00
Arthur Apter: Indestructible strong compactness but not supercompactness
15:15-16:05
David Aspero: A reflection principle compatible with the continuum large (1)
COFFEE BREAK
16:30-16:55
Miguel Angel Mota: A reflection principle with the continuum large (2)
17:05-17:30
Victor Torres: Rado's Conjecture, Saturation of the nonstationary ideal on omega_1, and two cardinal diamonds

Wednesday, June 17

08:50-09:40
Joel David Hamkins: General relations of the set-theoretic universe to its forcing extensions and grounds
COFFEE BREAK
10:00-10:50
Stephen Jackson: New partition results from AD
11:00-11:50
Benedikt Löwe: Eventually Different Forcing at the Second Level of the Projective Hierarchy
12:15- approx 16:45
Excursion and lunch at Mostalm

Thursday, June 18

08:50-09:40
Matt Foreman: Inner models for huge cardinals and Strong Chang's Conjecture
COFFEE BREAK
10:05-10:55
Tetsuya Ishiu: A precipitous club guessing ideal on omega_1
11:10-11:35
Teruyuki Yorioka: CCC without random reals
11:45-12:10
Assaf Rinot: Diamond on successors of singulars
LUNCH BREAK
14:10-15:00
Heike Mildenberger: Proper translation
15:15-16:05
Janusz Pawlikowski: Playing with countable support iteration
COFFEE BREAK
16:30-16:55
Marcin Sabok: On forcing with sigma-ideals of closed sets
17:05-17:30
Natasha Dobrinen: Tukey degrees of ultrafilters

Friday, June 19

08:50-09:40
Ilijas Farah: Nonseparable UHF algebras
COFFEE BREAK
10:05-10:55
J. Donald Monk: Towers in Boolean algebras
11:10-11:35
Bernhard Koenig: Different ways to produce non-special omega_2-Aronszajntrees
11:45-12:10
Victoria Gitman: Ramsey-like cardinals
LUNCH BREAK
14:10-15:00
Ralf Schindler: Bounded forcing axioms and reflection
15:15-16:05
Mack Stanley: The Largest Large Cardinal and the Inner Model Hypothesis
COFFEE BREAK
16:30-16:55
Philipp Schlicht: Thin equivalence relations in scaled pointclasses
17:05-17:30
Vincenzo Dimonte: Non-proper elementary embeddings beyond L(V_{lambda+1})

Monday, June 22

09:00-09:50
Alessandro Andretta: Some descriptive set theory related to the Lebesgue density theorem
COFFEE BREAK
10:15-11:05
Pandelis Dodos: Applications of Descriptive Set Theory in the Geometry of Banach spaces
11:20-12:10
Jordi Lopez-Abad: Generic constructions of Banach spaces
LUNCH BREAK
14:10-15:00
Miroslav Zeleny: Games and sigma-porosity
15:15-16:05
Riccardo Camerlo: Standard universal dendrites as small Polish structures
COFFEE BREAK
16:30-17:20
Michael Hrusak: Katetov order on Borel ideals

Tuesday, June 23

09:00-09:50
Joan Bagaria: C^(n)-cardinals
COFFEE BREAK
10:15-11:05
Pandelis Dodos: Applications of Descriptive Set Theory in the Geometry of Banach spaces
11:20-12:10
Julien Melleray: Metric structures and applications to the theory of topological groups
LUNCH BREAK
14:10-15:00
Luca Motto Ros: A universality property for analytic equivalence relations and quasi-orders
15:15-16:05
Vladimir Kanovey: On definability of some counterexamples in descriptive set theory
COFFEE BREAK
16:30-17:20
Tamás Mátrai: Cofinal types of definable directed orders

Wednesday, June 24

09:00-09:50
Norbert Sauer: On partitions of relational structures
COFFEE BREAK
10:15-11:05
Pandelis Dodos: Applications of Descriptive Set Theory in the Geometry of Banach spaces
11:20-12:10
Lionel Nguyen Van The: Structural Ramsey theory and topological dynamics
afternoon-evening
Excursion and lunch at Lusthaus

Thursday, June 25

09:00-09:50
Valentin Ferenczi: Complexity of isomorphism between Banach spaces and inevitable list of Gowers
COFFEE BREAK
10:15-11:05
Su Gao: The Descriptive Complexity of Free Bernoulli Subflows
11:20-12:10
Lionel Nguyen Van The: Structural Ramsey theory and topological dynamics
LUNCH BREAK
14:10-15:00
Samuel Coskey: On dimension and Borel reducibility
15:15-16:05
Claude Laflamme: Partitions and Indivisibility Properties of Countable Dimensional Vector Spaces
COFFEE BREAK
16:30-17:20
Asger Törnquist: The lifting problem for the group of measure preserving transformations of the unit interval

Friday, June 26

09:00-09:50
Matt Foreman: Models for Measure Preserving Transformations
COFFEE BREAK
10:15-11:05
Ben Miller: Forceless, ineffective, powerless proofs of descriptive set-theoretic dichotomy theorems.
11:20-12:10
Lionel Nguyen Van The: Structural Ramsey theory and topological dynamics
LUNCH BREAK
14:10-15:00
Simon Thomas: Some Consequences of Martin's Conjecture
15:15-16:05
Christian Rosendal: Infinite asymptotic games and an exact Ramsey principle for block sequences
COFFEE BREAK
16:30-17:20
Greg Hjorth: Yet another proof of Gaboriau-Popa