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

Speaker	Title	Abstract/Slides
Pratulananda Das	Characterized subgroups of the circle using natural density ideal
Takehiko Gappo	TBA
Valentin Haberl	Universally meager sets in the Miller model and similar ones
Klára Karasová	Chaos on Peano continua
Pedro Marun	TBA
Fumiaki Nishitani
hidetaka NORO
Mbekezeli Nxumalo	On uniformly Menger elements
Ryoichi Sato	Groupwise density number after Combinatorial tree forcing
Zdeněk Silber
Šárka Stejskalová
Tristan van der Vlugt	The higher closed null ideal