Workshop

C*-Dynamics and Set Theory in Paris, 1-5 August 2022

Confirmed Speakers

  • Gianluca Basso (Lyon)
  • Tristan Bice (Prague)
  • Marzieh Forough (Prague)
  • Eusebio Gardella (Gothenburg)
  • Shirly Geffen (Leuven)
  • Ilan Hirshberg (Be’er Sheva)
  • Bhishan Jacelon (Prague)
  • Wiesław Kubiś (Prague)
  • François Le Maître (Paris)
  • Christopher Schafhauser (Nebraska)
  • Wilhelm Winter (Münster)

Contact the organisers.

Workshop

Titles and Abstracts.

Schedule.

Photo.

The Workshop will take place at Residence André Honnorat, in the Cité Universitaire

The conference dinner will take place in the building just behind Residence André Honnorat. Please meet us there at 19:30 on Wednesday evening.

Following the pioneering work of Cantor, Gödel and Cohen, set theory is a branch of mathematical logic concerned with the axiomatization of mathematics and the study of higher cardinalities. At the core of the foundations of mathematics, set theory has found applications to almost every single branch of mathematics. The study of C*-algebras, a main branch of operator algebras, traces its origins back to Murray and von Neumann, who in the 1930’s aimed to provide a solid mathematical ground for quantum mechanics. Operator algebras are linked to many areas of mathematics (among them, dynamical systems, geometric group theory), as well as to theoretical physics and computer science.

Connections between logic and operator algebras have a long history with sparse, albeit fruitful, consequences. These received renewed impetus in the 2000’s. An extremely fruitful interplay between set theory and operator algebras has developed in the last 15 years, with long standing open problems in C*-algebras being solved with the aid of set theoretical tools.

This workshop will focus in particular on the connections between descriptive set theory and ergodic theory and the study of dynamical systems, deeply connected with the structure of crossed product C* -algebras and related constructions. We also hope to look at the study of how combinatorial set theory is capable of constructing interesting C *-algebras (particularly those arising from dynamics), which can serving as counterexamples to outstanding problems in operator algebras.

Contact the organisers.

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