Tutorial Track
L. Barto: The complexity of constraint problems
I will talk about some results and mathematical techniques that are used to study the computational and descriptive complexity of Constraint Satisfaction Problems (CSPs) and Promise CSPs. The focus will be on concepts and ideas that could potentially be applicable more broadly.
slides I,
slides II,
slides III
J. Bergfalk: The cohomology of the ordinals
We'll survey cohomological approaches to infinitary combinatorics, and most particularly to that of the ordinals $\omega_n$. The core of this series of talks is ongoing joint work with Chris Lambie-Hanson and Jing Zhang. At the core, in turn, of that work is a stubbornly open question about how far those ordinals' combinatorics are determined by the ZFC axioms alone. We will complain about this question's obstinacy.
slides I,
slides II,
slides III
P. Larson: Universally Measurable Sets
A subset of a topological space is said to be universally measurable
if it is measured by the completion of each countably additive $\sigma$-finite
Borel measure on the space. We will survey what is known about universally measurable
subsets of Polish spaces, including constructions of exotic examples. We will also present some of the many basic open questions about the universally measurable sets, in particular the question of whether it is consistent that all universally measurable sets have the Baire property. Along the way we will discuss the related notions of universally null, universally categorical and universally Baire sets.
slides I,
slides II,
slides III
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.
slides I,
slides II,
slides III
Research Track
| Speaker | Title | Abstract/Slides |
|---|
| Julia Ścisłowska | Modern methods of constructing the Knaster continuum | abstract slides |
| Szymon Żeberski | Topology idealized | abstract slides |
| Dominik Bargieła | Topological Stäckel Hypothesis | |
| Andrew Brooke-Taylor | A 2 generator free LD-algebra from very large cardinals | abstract slides |
| Nick Chapman | Changing the Length of the Borel Hierarchy | abstract slides |
| David Chodounsky | Closing information | slides |
| Jakub Cieplechowicz | Everywhere J sets | slides |
| Pratulananda Das | I-Characterized Subgroups of the Circle | slides |
| Hope Duncan | Weakly Compact cardinals in the Bristol Model | abstract slides |
| Márton Elekes | Is there a largest small set? | abstract |
| Rafał Filipów | Two b or not two b? | abstract slides |
| Kateřina Fuková | On the structure of commutative (von Neumann) regular semiartinian algebras | abstract |
| Takehiko Gappo | Cardinal invariants of idealized Miller null sets | slides |
| Lyra Gardiner | Structural Infinite-Exponent Partition Relations and Weak Choice Principles | abstract slides |
| Tatsuya Goto | Cichoń's minimum with $F_\sigma$ measure zero ideal | abstract slides |
| Valentin Haberl | Universally meager sets in the Miller model and similar ones | abstract slides |
| Yusuke Hayashi | Introduction to Transfinite Chomp | abstract slides |
| Silvan Horvath | Laver ultrafilters | abstract slides |
| Jan Hubička | On Big Ramsey degrees of universal ω-edge-labeled hypergraphs | abstract slides |
| Janos Ivanyos | Algebraic characterisation of pseudo-elementary and second-order classes | abstract slides |
| Jerzy Kąkol | New results and problems related with $\Delta$-spaces and $\Delta_1$-spaces | abstract slides |
| Małgorzata Kowalczuk | Critical ideals for countable compact spaces | abstract slides |
| Wiesław Kubiś | Slim sets in vector spaces | abstract slides |
| Chris Lambie-Hanson | TBA | |
| Mikołaj Marsy | Combinatorial Banach Spaces obtained from Suslin Tree | |
| Arturo Martinez Celis | c.c.c. filters | slides |
| Pedro Marun | TBA | |
| Łukasz Mazurkiewicz | Ideal zoo in the Baire space 1 | abstract slides |
| Marcin Michalski | Ideal zoo in the Baire space 2 | abstract slides |
| Julia Millhouse | Definable witnesses | slides |
| Adam Morawski | Rudin-Blass Ordering of Measures | abstract slides |
| Orazio Nicolosi | Around the decomposability of Borel functions | abstract slides |
| Fumiaki Nishitani | The Closed Subtree Property for Aronszajn trees | abstract slides |
| Hidetaka Noro | Local constant evasion number | abstract |
| Mbekezeli Nxumalo | On uniformly Menger elements | abstract slides |
| Daria Perkowska | $\mathcal{M}_-^*$ | abstract slides |
| Małgorzata Rojek | Almost disjoint families under automorphisms of $\wp(\mathbb{N})/Fin$ and $\ell_\infty/c_0$ | abstract slides |
| Maurício Rossetto Corrêa | Baire Category Invariants and the Structure of Non-Separable Banach Spaces | abstract slides |
| Ryoichi Sato | Groupwise density number after Combinatorial tree forcing | abstract slides |
| Zdeněk Silber | A countably tight P(K) space admitting a nonseparable measure | abstract slides |
| Damian Sobota | On minimal dimension of normed barrelled spaces | abstract slides |
| Šárka Stejskalová | | |
| Maximilian Strohmeier | Sheaves for Ramsey Theory and Computer Science | slides |
| Toshimasa Tanno | Perfect set dichotomy theorem in generalized Solovay model | abstract slides |
| Tristan van der Vlugt | The higher closed null ideal(s) | abstract slides |
| Lyubomyr Zdomskyy | A topological characterization of $\min\{\mathfrak{r},\mathfrak{d}\}$ | abstract slides |
