Research Programme

Academic Year 2009-2010 and 2010-2011

  The Infinity Project


Dates: From September 2009 to July 2011

Place: Centre de Recerca Matemàtica. Facultat de Ciències. UAB. Bellaterra (Barcelona), Spain

How to reach the CRM

Project leader: Sy-David Friedman, Kurt Gödel Reseach Center, Vienna

Partial list of invited research visitors:  

Tatiana Arrigoni Fondazione Bruno Kessler, Trento
John T. Baldwin University of Illinois at Chicago
Arnold Beckmann University College of Swansea
Samuel R. Buss University of California at San Diego
Yijia Chen Shanghai Jiao Tong University
Fred Drueck University of Illinois at Chicago
Jörg Flum Universität Freiburg

Ekaterina Fokina

Kurt Gödel Research Center, Vienna
Loren Graham Harvard University
Rami Grossberg Carnegie Melon University
Tapani Hyttinen University of Helsinki
Jean-Michel Kantor Université de Paris VII
Julia Knight University of Notre Dame
Lars Kristiansen University of Oslo
Vadim Kulikov University of Helsinki
Juan Carlos Martínez Universitat de Barcelona
Russell Miller Queen's College, New York
Antonio Montalban University of Chicago
Michael Rathjen University of Leeds
Andrés Villaveces Universidad Nacional, Colombia
Albert Visser Universiteit Utrecht
Andreas Weiermann University of Ghent

Infinity postdocs:

Martin Koerwien Centre de Recerca Matemàtica (Barcelona)
Moritz Martin Müller Centre de Recerca Matemàtica (Barcelona)

Infinity Conference: International meeting to take place July 18 to 22, 2011

INFINITY PROJECT SEMINAR

The Infinity Project

 

This is a multidisciplinary research project, funded by the John Templeton Foundation. The Infinity Postdocs will join the Invited Research Visitors, the Project Director and Barcelona logicians to discover radically new connections between different areas of logic in the context of the six project themes.

 

1. History and Philosophy of Set Theory (Loren Graham, Jean-Michel Kantor, Tatiana Arrigoni)

 

The Luzin archive, Cartesianism vs. Luzinism in modern set theory, Grothendieck's concept of naming, the concept of maximality in set theory.

 

2. Sets and Computations (Albert Atserias, Arnold Beckmann, Sam Buss, Yijia Chen,  Joerg Flum, Moritz Mueller)

 

Forcing in complexity theory, isomorphism relations on finite models.

 

3. Sets and Proofs (Lars Kristiansen, Michael Rathjen, Albert Visser, Andreas Weiermann)

 

Classes of provably recursive functions, proof-theoretic operators, relativised ordinal analysis.

 

4. Sets and Models (John Baldwin, Fred Drueck, Rami Grossberg, Tapani Hyttinen, Martin Koerwien, Vadim Kulikov, Andres Villaveces)

 

Higher descriptive set theory and first-order model theory, abstract elementary classes and axioms for set theory.

 

5. Computations and Proofs (Arnold Beckmann, Sam Buss, Yijia Chen, Joerg Flum, Moritz Mueller)

 

Optimal algorithms, bounds on cut-elimination, theories and algorithms.

 

6. Computations and Models (Katia Fokina, Julia Knight, Russell Miller, Antonio Montalban)

 

Isomorphism relations on computable models. 

 


This page was last updated on 15/03/2011