## Double session at Fields Institute (D. Bartosova and A. Rinot)

Place: Fields Institute, Room 210

Date: 17-October- 2014

Time: 12:30-15:00

Speaker 1 (from 12:30 to 13:30): Dana Bartosova
Title: Finite Gowers’ Theorem and the Lelek fan
Abstract: The Lelek fan is a unique non-degenrate subcontinuum of the Cantor fan with a dense set of endpoints. We denote by $G$ the group of homeomorphisms of the Lelek fan with the compact-open topology. Studying the dynamics of $G$, we generalize finite Gowers’ Theorem to a variety of operations and show how it applies to our original problem. This is joint work with Aleksandra Kwiatkowska.
___________________________________________________________
Speaker 2 (from 13:30 to 15:00): Assaf Rinot
Title: Productivity of higher chain condition
Abstract: We shall survey the history of the study of the productivity of the k-cc in partial orders, topological spaces, and Boolean algebras. We shall address a conjecture that tries to characterize such a productivity in Ramsey-type language. For this, a new oscillation function for successor cardinals, and a new characteristic function for walks on ordinals will be proposed and investigated.

## Sarka Stejskalova: Laver diamond, PFA from a supercompact cardinal

Wednesday, October 15, 2014, 11:00
Prague – CTS

Speaker: Sarka Stejskalova

Title: Laver diamond, PFA from a supercompact cardinal

## Winter School 2015

We are pleased to announce that the registration for the Winter School in Abstract Analysis, section Set Theory & Topology is now open. The conference will take place between Jan 31st and Feb 7th 2015 in Hejnice, Czech Republic.

Tutorial speakers for this year are:

Claude Laflamme
David Milovich
Justin T. Moore
Andrzej Roslanowski

The conference fee is 300 EUR and covers all expenses including the bus from Prague to Hejnice and back. Accommodation will be in double rooms.

We have a limited amount of money to support students and researchers without other sources of funding.

Dec 11th, 2014 fee waiver application deadline
Dec 31st, 2014 registration deadline

www.winterschool.eu

If you have any questions please do not hesitate to contact us.

Hope to see you in January

David Chodounsky, Jan Stary and Jonathan Verner

## Wu Guohua: Nonhemimaximal sets and degrees

Invitation to the Logic Seminar at the National University of Singapore

Date: Wednesday, 15 October 2014, 17:00 hrs

Room: S17#04-04, Department of Mathematics, NUS

Speaker: Wu Guohua

Title: Nonhemimaximal sets and degrees

Abstract: In this talk, I will present a recent work with Mustafa and
Yamaleev on the Turing degrees of nonhemimaximal sets, proving that
the nonhemimaximal degrees are nowhere dense in the low2 c.e.
degrees. This answers a question of Downey and Stob.

URL: http://www.comp.nus.edu.sg/~fstephan/logicseminar.html

## 13/Oct/2014: Rachid Atmai and Saharon Shelah

All talks are in Hill

DST Seminar at 3:20 Room 425

October 10/13 — Rachid Atmai (Rutgers)
Title: The derived model theorem.

Logic Seminar at 5:00 Room 705

Monday 10/13– Saharon Shelah (Rutgers)
Title: The maximality principle for stationary sets

## Paul Larson: Automorphisms of $P(\omega_1)/Fin$

Speaker: Paul Larson
Institution: Miami University, Oxford, Ohio
Time: Mon, 10/13/2014 – 4:00pm – 5:30pm
Location: RH 440R

It appears to be an open question whether for every regular uncountable regular $\lambda$, every automorphism of $P(\lambda)/fin$ is trivial on a co-countable set. We will show that a small fragment of Martin’s Axiom implies that if $\lambda$ is at most the continuum then every automorphism of $P(\lambda)/fin$ which is trivial on sets of cardinality less than $\lambda$ is trivial.

## Jeremy Avigad: Uniform distribution and algorithmic randomness I

Mathematical logic seminar – October 14, 2014
Time:     12:30 – 13:30

Room:     Wean Hall 8220

Department of Philosophy
CMU

Title:     Uniform distribution and algorithmic randomness I

Abstract:

A seminal theorem due to Weyl states that if (a_n) is any sequence of distinct integers, then, for almost every real number x, the sequence (a_n x) is uniformly distributed modulo one. In particular, for almost every x in the unit interval, the sequence (a_n x) is uniformly distributed modulo one for every *computable* sequence (a_n) of distinct integers. Call such an x UD random.

Every Schnorr random real is UD random, but there are Kurtz random reals that are not UD random. On the other hand, Weyl’s theorem still holds relative to a particular effectively closed null set, so there are UD random reals that are not Kurtz random.

In these talks, I will prove Weyl’s theorem and provide the relevant background from algorithmetic randomness, and then discuss the results above.

## Robert Ralowski: Nonmeasurability with respect to Marczewski ideal

Tuesday, October 14, 2014, 17.05
D1-215, Politechnika Wroclawska

Speaker: Robert Ralowski (Wroclaw University of Technology)

Title: Nonmeasurability with respect to Marczewski ideal

Abstract:

For the abstract visit http://prac.im.pwr.wroc.pl/~przemko/settheory/talks/index.php

## Assistant Professor in Mathematical Logic, Paris (France), Deadline: 23 Oct 2014

Dear colleagues,

There is going to be an opening for a Maitre de ConfÃ©rence position
(Assistant Professor) in Mathematical Logic at the University of Paris 7
in 2015. If you are interested in applying or know someone who would be
please let me know. The hiring procedure in France requires candidates to
go through a qualification procedure. This procedure is done by the CNU
(ministry committee). More information can be found on the website of the
section 25 (mathematics) of the CNU

http://cnu25.emath.fr/qualif/index.html

In order to initiate the procedure the candidates should create an account
on the website

https://galaxie.enseignementsup-recherche.gouv.fr/antares/can/index.jsp

The deadline for this is*October 23 2014*. Each candidate will then be
assigned two referees and should then send his/her cv, publications, etc
to them. This should be done by *December 19 2014*. The qualification will
be decided in late January/early February. The qualification is valid for
4 years. Open positions will be announced in early *March 2015*.

with best wishes,
Boban Velickovic

## Assistant Professorship in Set Theory, Ohio (U.S.A.), Deadline: 15 Nov 2014

Dear colleagues,

We at Miami University (in Oxford, Ohio) are seeking to hire a set
theorist this year for a tenure-track Assistant Professorship. Screening
of applications will begin on November 15. Details can be found here:

https://www.mathjobs.org/jobs?joblist–6255

Please feel free to contact me if you are interested, or if you know
anyone who might be interested, or if you have any questions.

Regards,
Paul Larson