Tutorial Track
L. Barto: TBA
J. Bergfalk: TBA
P. Larson: TBA
P. Szeptycki: Ramsey theoretic notions of convergence and compactness
Interactions between Ramsey Theory, functional analysis, algebra and topology have a long history. These lectures will focus on various Ramsey theoretic notions of convergence that have arisen independently in the literature. For example, Knaust defined a notion of Ramsey convergence in his study of angelic spaces, Hindman et al to answer a purely topological question, and Banakh and others in connection to topological algebra, specifically the existence of idempotents in topological semi-groups. We will focus on our recent work applying these Ramsey-like convergence properties in the formulation of so-called high-dimensional compactness properties. Some applications, open problems and future directions will also be discussed.
Research Track
Scientific committee
David Chodounský, Institute of Mathematics, Czech Academy of Sciences
Jan Grebík, Masaryk University, and University of California, Los Angeles
Chris Lambie-Hanson, Institute of Mathematics, Czech Academy of Sciences
Jan Grebík, Masaryk University, and University of California, Los Angeles
Chris Lambie-Hanson, Institute of Mathematics, Czech Academy of Sciences
