Interactions between set theory, Banach space theory and topological dynamics

• Grant number: 15/09278-7
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: August 23, 2015
• End date: November 09, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Artur Hideyuki Tomita
• Grantee: Dana Bartosova
• Supervisor: Mirna Dzamonja
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: 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)