Tutorial Track
W. Brian: Automorphisms of $\mathcal P(\omega) / \mathrm{Fin}$
I'm going to talk about an old question of van Douwen: Are the shift map and its inverse conjugate in the automorphism group of P(ω)/fin? By the mid 1980's, van Douwen and Shelah proved that it is consistent they are not conjugate. Specifically, any automorphism witnessing their conjugacy would need to be nontrivial (van Douwen), but it is consistent that all automorphisms are trivial (Shelah). In this tutorial I am going to discuss the recently-proved complementary result: it is consistent that the shift map and its inverse are conjugate and, in fact, it follows from CH.
S. Unger: Equidecomposition and discrepancy
We will survey some recent results on equidecomposition in the torus. An important component of these results is the notion of discrepancy. In its simplest form, discrepancy for a measure $\mu$ is the supremum over intervals $I$ of $\vert \mu(I) - \lambda(I) \vert$ where $\lambda$ is Lebesgue measure. Numerical bounds on discrepancy for a sequence of measures $\mu_n$ can be used as input to (measurable) solutions to problems of equidecomposibility. This series of tutorials will contain joint work with Andrew Marks and with Anton Bernshteyn and Anush Tserunyan.
J. Väänänen: Inner models from extended logics
In recent joint work with J. Kennedy and M. Magidor the speaker has introduced a family of new inner models of set theory. These arise when in the definition of Gödel's inner model L the role of first order definability is given to definability in an extension of first order logic. The goal is to find new inner models which have the robustness off Gödel's L, which have the power to decide set theoretical questions such as CH, which support large cardinals, and which have some degree of naturality.
Research Track
| Speaker | Title | Abstract/Slides |
|---|
| Julia Ścisłowska | How to tame the Knaster continuum using the ultrafilter orders? | abstract |
| Szymon Żeberski | Algebraic sums, trees and meager sets in the Cantor space and in the Baire space | abstract |
| Tomasz Żuchowski | Ideals on ω and the Nikodym vs the Grothendieck property of Boolean algebras | abstract |
| Adam Bartoš | Uncountable finitely homogeneous structures | abstract |
| Balázs Bursics | Hyperfiniteness on topological Ramsey spaces | |
| Aleksander Cieślak | What does it take to kill an ideal | abstract |
| Hope Duncan | Inaccessible cardinals without choice | abstract |
| Yusuke Hayashi | Good coloring for stationary list | abstract |
| Jan Hubička | Big Ramsey degrees - current status and open problems | |
| Marta Kładź-Duda | Productivity of selective covering properties | abstract |
| Jerzy Kąkol | On some applications of $\Delta$-spaces and $\Delta_1$-spaces | abstract |
| Yurii Khomskii | TBA | |
| Anett Kocsis | TBA | |
| Chris Lambie-Hanson | | |
| Pedro Marun | Labelled Sets | |
| Łukasz Mazurkiewicz | Fake vs real null sets | abstract |
| Marcin Michalski | On algebraic sums, trees and null sets in the Cantor space and the Baire space | abstract |
| Adam Morawski | A Small, Unruly Radon-Nikodym Compact Space from a Diamond | abstract |
| Francesco Parente | Ultrafilters on the Cohen algebra | abstract |
| Michał Pawlikowski | Scales and combinatorial covering properties | abstract |
| Máté Pálfy | Generalized Haar meager sets and related cardinal invariants | abstract |
| Carlos Adrian Perez Estrada | Subgroups of big mapping class groups that are not extremely amenable | abstract slides |
| Daria Perkowska | *operation and microscopic sets | |
| Robert Ralowski | Peripherally Hausdorff spaces and fix-point theorem | |
| Bryant Rosado Silva | Generalized Ważewski dendrites, generic subcontinua and generic chains | |
| Calliope Ryan-Smith | Local reflections of choice | abstract |
| Lukas Schembecker | | |
| Jonathan Schilhan | | |
| Šárka Stejskalová | TBA | |
| Maximilian Strohmeier | Categorical Partite Construction | |
| Jaro Supina | Slaloms, cardinal invariants, and selection principles | abstract |
| Jarosław Swaczyna | | |
| Toshimasa Tanno | Generalized Tukey relation in Solovay model | abstract |
| Tristan van der Vlugt | Rearrangement & subseries numbers | |
| Wolfgang Wohofsky | E_0 trees and translations on the lower (finite) Cantor space | |
| Takashi Yamazoe | Game-theoretic variants of splitting number | abstract |
| Krzysztof Zakrzewski | $c_0$-products of function spaces | |
