Invited Speakers:
- Antonio Avilés (Universidad de Murcia)
- Valentin Ferenczi (Universidade de São Paulo)
- Piotr Koszmider (Technical University of Łódź)
- Wiesław Kubiś (Czech Academy of Sciences)
- Jordi López Abad (Instituto de Ciencias Matemáticas)
- Stevo Todorcevic (University of Toronto)
New techniques coming from set theory and combinatorics, such as Ramsey theory and its infinite dimensional topological versions, have fuelled spectacular advances in functional analysis and infinite dimensional geometry. Moreover, the role of cardinal assumptions and other axioms independent from ZFC are proving themselves essential in the study of some mathematical constructions.
The techniques of Gowers and Maurey, and the applications made by Argyros, Dodos, Ferenczi, Koszmider, Todorcevic, etc. of indecomposable structures -solving problems open for more than 60 years- passing through proofs that the existence of inner automorphisms in the Calkin algebra is undecidable in ZFC by Farah, Phillips and Weaver, are good examples of this pushing direction of research. During the Meeting, several first class researchers in the topic will deliver 2-3 hours mini-courses, in which they present one aspect of the recent developments related with our topic: Set-theoretic techniques in analysis.
The mini-courses of the invited speakers will be complemented with some open-discussion sessions to treat problems and further research directions.
A few hours will be also devoted to the exposition by recent doctors of the research they are currently developing.
