High and low forcing, San Jose, Jan 11 – 15, 2016

High and low forcing

January 11 to January 15, 2016 at the
American Institute of Mathematics, San Jose, California

organized by

Itay Neeman and Dima Sinapova

This workshop, sponsored by AIM and the NSF, is devoted to new methods of forcing, in infinitary combinatorics, and in connection with axioms about the real line. There were exciting recent developments in each of the two areas, involving Prikry type forcing and principles related to the tree property for the former, and finite support iterations with side conditions for the latter. The goal of the workshop is to foster interaction between people working in these two areas, and initiate collaborations on the many problems that remain open.

The topics of the workshop are:

  1. Infinitary combinatorics.
  2. Forcing with side conditions in connections to axioms about the real line.

The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

Participants:

1 David Aspero
University of East Anglia
d.aspero(())uea.ac.uk
2 Omer Ben-Neria
University of California, Los Angeles
obneria(())math.ucla.edu
3 Sean Cox
Virginia Commonwealth University
scox9(())vcu.edu
4 Monroe Eskew
Virginia Commonwealth University
mbeskew(())vcu.edu
5 Vera Fischer
University of Vienna
vera.fischer(())univie.ac.at
6 Laura Fontanella
Hebrew University of Jerusalem
laura.fontanella(())gmail.com
7 Matthew Foreman
mforeman(())math.uci.edu
8 Shoshana Friedman
CUNY-Kingsborough Community College
Shoshana.Friedman(())nylogic.org
9 Moti Gitik
gitik(())post.tau.ac.il
10 Victoria Gitman
CUNY Graduate Center
vgitman(())nylogic.org
11 Sherwood Hachtman
University of Illinois at Chicago
hachtma1(())uic.edu
12 Yair Hayut
Hebrew University in Jerusalem
yairchayut(())gmail.com
13 John Krueger
University of North Texas
jkrueger(())unt.edu
14 Maxwell Levine
UIC
mlevin20(())uic.edu
15 Menachem Magidor
Hebrew University of Jerusalem
mensara(())savion.huji.ac.il
16 Heike Mildenberger
Albert-Ludwigs-Universitaet Freiburg
heike.mildenberger(())math.uni-freiburg.de
17 William Mitchell
University of Florida
mitchell2090(())bellsouth.net
18 Justin Moore
Cornell University
justin(())math.cornell.edu
19 Itay Neeman
UCLA
ineeman(())math.ucla.edu
20 Dilip Raghavan
National University of Singapore
dilip.raghavan(())protonmail.com
21 Dima Sinapova
University of Illinois at Chicago
sinapova(())math.uic.edu
22 Stevo Todorcevic
University of Toronto and C.N.R.S., Paris
stevo(())math.utoronto.ca
23 Spencer Unger
UCLA
sunger(())math.ucla.edu
24 Boban Velickovic
Universite Paris Diderot
boban(())math.univ-paris-diderot.fr
25 Matteo Viale
university of torino
matteo.viale(())unito.it
26 Martin Zeman
Department of Mathematics, University of California Irvine
mzeman(())math.uci.edu

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