P.O.I Workshop in pure and descriptive set theory

Date and place: September 25th and 26th, 2015 - Torino (Italy)

The logic group in Turin is pleased to announce a two-day workshop on Pure and Descriptive Set Theory. This workshop concludes the San Paolo junior PI grant 2012 "New Perspectives On The Nature Of Infinity" (PI: Matteo Viale)
There will be four talks on each day.

Everyone is cordially invited to attend. For further information please send an email to matteo.viale at unito.it and/or raphael.carroy at unito.it

For organizational purposes, anyone interested in attending the workshop should send an email to matteo.viale at unito.it and/or raphael.carroy at unito.it before September 5th.

Organizers:

Alessandro Andretta, Raphaël Carroy, Luca Motto Ros and Matteo Viale

Location:

Plazzo Campana, via Carlo Alberto 10, Torino.
Aula Magna, 2nd floor.

Participants

Alessandro Andretta, David Aspero, Giorgio Audrito, Gianluca Basso, Filippo Calderoni, Gemma Carotenuto, Raphaël Carroy, Filippo Cavallari, Antonio Dellosso, Jacques Duparc, Marton Elekes, Kevin Fournier, Gabriele Gullà, Daisuke Ikegami, Viktor Kiss, Paul B. Larson, Bruno Li Marzi, Andrew Marks, Benjamin Miller, Luca Motto Ros, Francesco Parente, Yann Pequignot, Assaf Rinot, Edoardo Rivello, Silvia Steila, Matteo Viale, Zoltán Vidnyánszky, Domenico Zambella

Program

Day 1

10:00 to 10:50 - Andrew Marks (UCLA)

Baire measurable paradoxical decompositions

Slides

11:00 to 11:20 - Coffee Break

11:20 to 12:10 - Marton Elekes (Alfréd Rényi Institute of Mathematics)

The measure of conjugacy classes in Polish groups

12:20 to 14:00 - Lunch Break

14:00 to 14:50 - Raphaël Carroy (Torino)

Epimorphisms between linear orders

15:00 to 15:20 - Coffee Break

15:20 to 16:10 - Ben Miller (Wien)

A graph-theoretic proof of the Jayne-Rogers theorem

See abstract.

We will discuss the graph-theoretic dichotomies underpinning Solecki's refinement of the Jayne-Rogers theorem.Hide abstract.

16:20 to 16:40 - Discussion session

Day 2

10:00 to 10:50 - David Aspero (University of East Anglia)

TBA (Thin-tall Boolean algebra)

Slides

11:00 to 11:20 - Coffee Break

11:20 to 12:10 - Assaf Rinot (Bar-ilan University)

w3-trees

Slides
See abstract.

We inspect the constructions of four quite different w3-souslin trees. Hide abstract.

12:20 to 14:00 - Lunch Break

14:00 to 14:50 - Daisuke Ikegami (Kobe University)

Universally Baire subsets of 2^{\kappa}

Slides

15:00 to 15:20 - Coffee Break

15:20 to 16:10 - Paul B. Larson (Miami University, Ohio)

Automorphisms of $P(\lambda)/I_{\kappa}$.

Slides

16:20 to 16:40 - Discussion session

Travel awards

We might have modest travel awards to graduate or recent Ph.D. students so that they may attend the workshop. To be considered for a travel award, please send a letter of application by e-mail at the address matteo.viale at unito.it and/or raphael.carroy at unito.it.

The application letter should be brief (preferably one page) and should include: (1) your name; (2) your home institution; (3) the name of your supervisor; (4) a one-paragraph description of your studies and work in logic, and a paragraph indicating why it is important to attend the meeting; (5) your estimate of the travel expenses you will incur.

The deadline for the submission of a letter of application is 09.09.2015.

Sponsors

The workshop is generously funded by

- PRIN 2012 "Modelli e insiemi" (PI: Carlo Toffalori)

and is sponsored by AILA - Associazione Italiana di Logica e sue Applicazioni.