The announcements are updated continuously. For a list of talks in the coming weeks, please see here.
Hebrew University Set Theory Seminar
Time: Wednesday, 5 March, 13:00-15:00 local time (12:00-14:00 CEST)
Speaker: tba
Title: tba
Abstract: tba
Information: This talk will be given in hybrid format. Please contact Omer Ben-Neria and Inbar Oren for the login information.
Leeds Set Theory Seminar
Time: Wednesday, 5 March, 13:00-14:00 local time (14:00-15:00 CET)
Speaker: tba
Title: tba
Abstract: tba
Information: Contact Hope Duncan at mmhid@leeds.ac.uk for more information.
Caltech Logic Seminar
Time: Wednesday, 5 March, 12:00 – 13:00pm Pacific time (21:00 – 22:00 CET)
Speaker: Garrett Ervin, Caltech
Title: A dichotomy theorem for order types of orbit equivalence relations on R
Abstract: We introduce a natural notion of order-isomorphism between equivalence relations on R and prove the following dichotomy theorem: if E=EG is the orbit equivalence relation of a group G of orientation-preserving homeomorphisms of Rall of whose orbits are dense in R, then either E is isomorphic to the orbit equivalence relation of a group of translations, or E embeds an isomorphic copy of the tail-equivalence relation.
We also discuss connections between this theorem and several related dichotomy theorems about linear orders due to Lindenbaum, Jullien, and Holland. In each of these theorems, the dichotomy in question distinguishes between linear orders that can in some sense be split into two copies of themselves and linear orders for which there is no such splitting.
Information: See the seminar webpage.
Vienna Research Seminar in Set Theory
Time: Thursday, 6 March, 11:30-13:00 CET
Speaker: J. Schilhan, Universität Wien
Title: The theory of symmetric systems and extensions I
Abstract: In this 3 talk series I will give an introduction to the technique of symmetric systems and present some of the recent results we have obtained joint with A. Karagila. Symmetric systems produce so called symmetric extensions which are intermediate models between V and forcing extension V[G]. These models may not satisfy the Axiom of Choice and their primary use is to obtain consistency results for ZF. On the other hand, they are also useful in generally understanding and classifying intermediate models.
Information: This talk will be given in hybrid format. Please contact Petra Czarnecki for information how to participate.
Vienna Logic Colloquium
Time: Thursday, 6 March, 15:00 – 15:50 CET
Speaker: S. Eterović, Universität Wien
Title: Likely Intersections
Abstract: Many important problems in arithmetic geometry focus on the interplay between local arithmetic behavior and global geometric behavior. A way of making this precise is by studying so-called unlikely intersections, which are presumably governed by the (very open) Zilber-Pink conjecture.
In this talk I will introduce the Zilber-Pink conjecture, discuss some cases that are known, and present joint work with Thomas Scanlon where we prove a strong counterpart of Zilber-Pink describing the presence of likely intersections.
Information: This talk will be given in hybrid format. Please contact Petra Czarnecki for information how to participate.
Baltic Set Theory Seminar
Time: Thursday, 6 March, 16:30 – 18:00 CET
Speaker: Grigor Sargsyan
Title: Dense ideals
Abstract: The aim of this seminar series is to present topics that are of current interest. The material is usually built from ground up making it accessible to a wider audience than just experts. Feel free to participate at any time.
The topic of this semester’s seminar is based on a joint NCN-FWF project by Monroe Eskew and Grigor Sargsyan. The aim is to study dense ideals, and Sargsyan’s part of the project involves forcing over models of determinacy. The starting point of this construction is Woodin’s theorem that, given V is a model of Θreg+V=L(P(R)), the poset Coll(ω1,R)∗A˙dd(1,ω2) forces the existence of an ω1-dense ideal on ω1. The aim of this lecture is to present the proof of this theorem. We will start slowly and cover the background material that leads to the proof. There are two documents that contain the proof.
– Forcing a dense ideal on ω1 over a model of determinacy by Obrad Kasum
– Ideals and Strong Axioms of Determinacy by Dominik Adolf, Grigor Sargsyan, Nam Trang, Trevor Wilson, Martin Zeman
Information: This talk will be given in hybrid format. Please contact Rahman Mohammadpour and Grigor Sargsyan for information how to participate.
Cross-Alps Logic Seminar
Time: Friday, 7 March, 16.00-17.00 CEST
Speaker: S. Iyer, Carnegie Mellon University
Title: Extremely amenable groups of homeomorphisms
Abstract: A topological group is extremely amenable if every continuous action of it on a compact Hausdorff space has a fixed point. We will first survey some known results/ general tools about extreme amenability for homeomorphism groups of connected compact metric spaces. We outline a construction due to Uspenskij which gives a condition equivalent to extreme amenability for this setting. We then show a Ramsey-type statement for subsets of simplices that, together with Uspenskij’s construction, gives a new proof of a theorem due to Pestov: that the group of orientation-preserving homeomorphisms of the closed unit interval is extremely amenable. This is joint work with Lukas Michel and Alex Scott.
Information: The event will stream on the Webex platform. Please write to luca.mottoros [at] unito.it for the link to the event.
New York Set Theory Seminar
Time: Friday, 7 March, 11.00 New York time (17.00 CET)
Speaker: Tom Benhamou, Rutgers University
Title: Ultrafilters on measurables and non-measurables: discrepancies and techniques
Abstract: We present new results regarding the depth and Tukey spectrum of general ultrafilters and simple
Pλ-points at a measurable cardinal. In particular we prove that on a measurable cardinal there can only be a single λ for which there exists a simple Pλ-point – this is in sharp contrast to ω. Finally we will present several models in which we analyze the depth and Tukey spectrum of an ultrafilter, and their effect on generalized cardinal characteristics.
Information: Please see the seminar webpage for the login information.
Toronto Set Theory Seminar
Time: Friday, 7 March, 1.30-3.00pm Toronto time (19.30-21.00 CET)
Speaker: Narmada Varadarajan, University of Toronto
Title: tba
Abstract: tba
Information: Please see the seminar webpage for the login information.
New York Logic Workshop
Time: Friday, 7 March, 14.00 New York time (20.00 CET)
Speaker: Maya Saran, Mathematics Foundation of America
Title: A descriptive-set-theoretic result on sigma-ideals of compact sets
Abstract: Polish spaces, the objects of study of descriptive set theory, are completely metrizable topological spaces that have a countable dense subset. For example, the reals – the first Polish space in the world. We will look at ‘sigma-ideals’ of compact subsets of a Polish space. Think of a sigma-ideal as being a collection of ‘small’ compact sets, under some notion of smallness — so for example, your Polish space could be the interval [0,1] and your sigma-ideal could be the collection of all its compact sets of Lebesgue measure 0. The descriptive-set-theoretic study of these objects yields rich results for the following reason. If you look at the collection of all the compact subsets of a Polish space, that too, topologized and metrized in a natural way, turns out to be a Polish space. This means that you can look at your sigma-ideal of compact sets in two places: in the original space, say E, and in the `hyperspace’ of all compact sets of E. In this talk we will deal with sigma-ideals that can be represented in a very nice way inside this hyperspace, and we will examine the behaviour of so-called G-delta subsets of E with respect to this representation.
Information: Please see the seminar webpage for the login information.