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 parametrised diamonds
Francesco Parente	Ultrafilters on the Cohen algebra	abstract
Michał Pawlikowski	Scales and combinatorial covering properties	abstract
Máté Pálfy	TBA
Carlos Adrian Perez Estrada	Subgroups of big mapping class groups that are not extremely amenable	abstract
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
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