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Weekly research seminar
Organizers
- prof. dr hab. Witold Marciszewski
- prof. dr hab. Piotr Zakrzewski
Information
Wednesdays, 4:15 p.m. , room: 5050Research fields
List of talks
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April 2, 2025, 4:15 p.m.
Jan Kostrzon (Doctoral School of Exact and Natural Sciences UW)
Generic absoluteness for a model of determinacy
I will present some recent work focused on proving a strong generic absoluteness for a minimal model that satisfies the theory AD_R + 'All sets are Universally Baire'. Such model is an example of a …
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March 26, 2025, 4:15 p.m.
Michał Pawlikowski (Łódź University of Technology)
Scales and combinatorial covering properties (Scales and combinatorial covering properties)
A b-scale set is a subset of P(w) of the form {x_alpha : alpha < b} U Fin, where {x_alpha : alpha < b} is an unbounded set in [w]^w and for all alpha < …
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March 12, 2025, 4:15 p.m.
Marcin Penconek (University of Warsaw)
Adventures of a Mathematician in Cognitive Science
In this seminar, I will discuss how mathematics can help us understand human decision-making. Categorical decisions have been of interest to many disciplines including neuroscience. Recent advances have indicated how such decisions are computed in …
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March 5, 2025, 4:15 p.m.
Julia Ścisłowska (Doctoral School of Exact and Natural Sciences UW)
Ultrafilter orders on chainable continua
The talk will be based on the results from my master’s thesis ,,Linear orders on chainable continua", prepared under supervision of prof. Witold Marciszewski. The thesis is devoted to study families of ultrafilter orders on …
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Feb. 26, 2025, 4:15 p.m.
Witold Marciszewski (University of Warsaw)
Counting Banach spaces C(K)
The talk will be devoted to presenting the results of a joint research project with Maciej Korpalski (UWr). We studied the problem of isomorphic classification of the Banach spaces C(K) of real continuous functions on …
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Jan. 22, 2025, 4:15 p.m.
Mikołaj Krupski (UW)
Every Lindel\"of scattered subspace of a $\Sigma$-product of real lines is $\sigma$-compact (Every Lindel\"of scattered subspace of a $\Sigma$-product of real lines is $\sigma$-compact)
We prove that every Lindel\"of scattered subspace of a $\Sigma$-product of first-countable spaces is $\sigma$-compact. In particular, we obtain the result stated in the title. This answers some questions of Tkachuk from [Houston J. Math. …
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Jan. 8, 2025, 4:15 p.m.
Maciej Malicki (UW)
Good measures and Fraisse theory (Good measures and Fraisse theory)
A full probability measure m on the Cantor space C is called good if there exists a uniquely ergodic homeomorphism of C whose unique invariant measure is m. Ethan Akin proved that every good measure …
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Dec. 18, 2024, 4:15 p.m.
Damian Głodkowski (UW)
A small Boolean algebra that is Grothendieck but not Nikodym, part II (A small Boolean algebra that is Grothendieck but not Nikodym, part II)
The talk will be devoted to the Grothendieck and Nikodym properties concerning measures on Boolean algebras. In 1984 Talagrand showed that under the continuum hypothesis there is a Boolean algebra with the Grothendieck property and …
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Dec. 11, 2024, 4:15 p.m.
Damian Głodkowski (UW)
A small Boolean algebra that is Grothendieck but not Nikodym (A small Boolean algebra that is Grothendieck but not Nikodym)
The talk will be devoted to the Grothendieck and Nikodym properties concerning measures on Boolean algebras. In 1984 Talagrand showed that under the continuum hypothesis there is a Boolean algebra with the Grothendieck property and …
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Dec. 4, 2024, 4:15 p.m.
Tomasz Kochanek (UW)
When is the Szlenk derivation of a dual unit ball another ball? (When is the Szlenk derivation of a dual unit ball another ball?)
The Szlenk derivation of the dual unit ball of a Banach space is an analogue of the Cantor-Bendixson derivative, and the main ingredient in the definition of Szlenk index, a classical ordinal index with many …
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Nov. 27, 2024, 4:15 p.m.
Tomasz Weiss (Cardinal Stefan Wyszyński University in Warsaw)
Some remarks on subsets of R defined in terms of the translations of sets which belong to the four most common sigma ideals in R, part II
We are interested in subsets of the Cantor space C. Assume that M denotes meager sets, N stands for null sets, M/\N is the intersection ideal, and + is the standard addition in C. We …
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Nov. 20, 2024, 4:15 p.m.
Tomasz Weiss (Cardinal Stefan Wyszyński University in Warsaw)
Some remarks on subsets of R defined in terms of the translations of sets which belong to the four most common sigma ideals in R
We are interested in subsets of the Cantor space C. Assume that M denotes meager sets, N stands for null sets, M/\N is the intersection ideal, and + is the standard addition in C. We …
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Nov. 13, 2024, 4:15 p.m.
Grzegorz Plebanek (University of Wrocław)
On embeddings of measure algebras into quotients of P(\omega) (On embeddings of measure algebras into quotients of P(\omega))
We discuss results, due to D.H. Fremlin, on the subject indicated in the title. Those are closely related to so-called uniformly distributed sequences and other sequential properties in spaces of measures. Additional information can be …
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Nov. 6, 2024, 4:15 p.m.
Damian Sobota (Universität Wien, Kurt Gödel Research Center for Mathematical Logic)
On isometric embeddings of separable spaces C(L) in arbitrary spaces C(K) (On isometric embeddings of separable spaces C(L) in arbitrary spaces C(K))
Supplementing and expanding classical results, for compact spaces K and L, L metric, and their Banach spaces C(L) and C(K) of continuous real-valued functions, we provide several characterizations of the existence of isometric embeddings of …
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Oct. 30, 2024, 4:15 p.m.
Taras Banakh (Ivan Franko National University of Lviv and UJK Kielce)
Algebra and Geometry in Liners (Algebra and Geometry in Liners)
We shall discuss the interplay between algebra and geometry in (affine or projective) liners, and also present selected open problems in this fascinating field of mathematics. More information can be found in the book "Geometry …
