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Interactions between set theory, Banach space theory and topological dynamics

Grant number: 15/09278-7
Support type:Scholarships abroad - Research Internship - Post-doctor
Effective date (Start): August 23, 2015
Effective date (End): November 09, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Artur Hideyuki Tomita
Grantee:Dana Bartosova
Supervisor abroad: Mirna Dzamonja
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Local de pesquisa : Isaac Newton Institute for Mathematical Sciences (INI), England  
Associated to the scholarship:13/14458-9 - Algebra in the Cech-Stone compactification and its applications to topological dynamics, ergodic theory and Ramsey Theory, BP.PD

Abstract

This proposal is for a research stay within the programme Mathematical, Foundational and Computational Aspects of the Higher Infinite at the Isaac Newton Institute for Mathematical Sciences in Cambridge where I was invited by prof. Dzamonja. Under her supervision and via collaboration with other leading research in the field present in the programme, we will attack problems about universal homogeneous Banach spaces and a prominent conjecture about metrizability of universal minimal flows which has deep consequences in Ramsey theory, model theory and theoretical computer science. (AU)