Appalachian set theory

Appalachian set theory

This series of workshops on set theory for the Appalachian region is supported by the National Science Foundation (DMS 0631446, DMS 0903845) and the host universities and institutes. There are three workshops per year, each of which is devoted to a single topic such as a broadly applicable method, a complex seminal paper or a significant unpublished theorem. The location and topic for each workshop is announced several months in advance together with suggested background reading. The immediate goal is for faculty and students who are not experts in the topic to get to the point where they can start to use its techniques in one or two intensive days. Each time, an expert in the topic is invited to lead the workshop, which could mean doing all the lecturing herself or himself, or delegating parts to others. Those wishing to attend may apply to have some of their travel expenses reimbursed. Students are hired to generate notes that are disseminated on the web. Special emphasis is given to encouraging the participation of mathematicians from underrepresented groups.

Click for new webpage

Most recent workshop

September 8-9, 2012, at the Fields Institute in Toronto, Canada

Caleb Eckhardt and Andrew Toms

"C*-algebras, classification and descriptive set theory"

Description (PDF)

List of participants in this workshop

Past workshops

April 7, 2012, at Cornell University
The sixteenth workshop, which was led by Hugh Woodin, was on "The HOD dichotomy"

Workshop details
Lecture notes from this workshop by Hugh Woodin, Jacob Davis and Daniel Rodriguez (PDF)
List of participants in this workshop

March 3, 2012, at Carnegie Mellon University
The fifteenth workshop, which was led by Asger Tornquist, was on "Set theory and von Neumann algebras"

Workshop details
Lecture notes from this workshop by Asger Tornquist and Martino Lupini (PDF)
List of participants in this workshop

October 15, 2011, at University of Illinois at Chicago
The fourteenth workshop, which was led by Boban Velickovic, was on "Proper forcing remastered"

Workshop details
Lecture notes from this workshop by Boban Velickovic and Giorgio Venturi (PDF)
List of participants in this workshop

March 19, 2011, at Carnegie Mellon University in Pittsburgh PA
The thirteenth workshop, which was led by Menachem Magidor, was on "The strengths and weaknesses of weak squares"

Workshop details
Lecture notes from this workshop by Menachem Magidor and Chris Lambie-Hanson (PDF)
List of participants in this workshop

October 30, 2010, at Vanderbilt University in Nashville TN
The twelth workshop, which was led by Alekos Kechris, was on "The complexity of classification problems in ergodic theory"

Workshop details
Lecture notes from this workshop by Alekos Kechris and Robin Tucker-Drob (PDF; Revised 8/11)
List of participants in this workshop

April 3, 2010, at Carnegie Mellon University in Pittsburgh PA
The eleventh workshop, which was led by Moti Gitik, was on "Short extender forcing"

Workshop details
Lecture notes from this workshop by Moti Gitik and Spencer Unger (PDF)
List of participants in this workshop

January 30, 2010, at Miami University in Oxford OH
The tenth workshop, which was led by Andreas Blass, was on "Ultrafilters and cardinal characteristics of the continuum"

Workshop details
Lecture notes from this workshop by Andreas Blass and Nicholas Rupprecht (PDF)
List of participants in this workshop

May 29-30, 2009, at the Fields Institute in Toronto, Canada
The ninth workshop, which was led by Todd Eisworth and Justin Moore, was on "Iterated forcing and the Continuum Hypothesis"

ME3500.jpg
Workshop details
Lecture notes from this workshop by Todd Eisworth, Justin Moore and David Milovich (PDF; Revised 5/10)
List of participants in this workshop

February 28, 2009, at Carnegie Mellon University in Pittsburgh PA
The eigth workshop, which was led by Itay Neeman, was on "Aronszajn trees and the Singular Cardinals Hypothesis"

Neeman.jpg
Workshop details
Lecture notes from this workshop by Itay Neeman and Spencer Unger (PDF; Final version 11/10)
List of participants in this workshop

November 22, 2008, at Cornell University in Ithaca NY
The seventh workshop, which was led by Vladimir Pestov, was an "Introduction to sofic and hyperlinear groups"

Pestov.jpg
Workshop details
Lecture notes from this workshop by Vladimir Pestov and Aleksandra Kwiatkowska (PDF; Final version 11/09)
List of participants in this workshop

May 31, 2008, at Pennsylvania State University in State College PA
The sixth workshop, which was led by Justin Moore, was on "Set mapping reflection"

Moore300.jpg
Workshop details
Lecture notes from this workshop by Justin Moore and David Milovich (PDF; Final version 4/10)
List of participants in this workshop

February 9, 2008, at Carnegie Mellon University in Pittsburgh PA
The fifth workshop, which was led by Ilijas Farah, was on "Set theory and operator algebras"

Farah.JPG
Workshop details
Lecture notes from this workshop by Ilijas Farah and Eric Wofsey (PDF; Final version 5/10)
List of open problems on operator algebras of interest to set theorists by Ilijas Farah (PDF)
List of participants in this workshop

November 17, 2007, at Ohio University in Athens OH
The fourth workshop, which was led by Simon Thomas, was on "Countable Borel equivalence relations"

Thomas.jpg
Workshop details
Lecture notes from this workshop by Simon Thomas and Scott Schneider (PDF; Final version 6/10)
List of participants in this workshop

June 2, 2007, at James Madison University in Harrisonburg VA
The third workshop, which was led by Matthew Foreman, was on "Generic embeddings"

Foreman.jpg
Workshop details
List of participants in this workshop

January 27, 2007, at University of North Carolina in Charlotte NC
The second workshop, which was led by Stevo Todorcevic, was on "Coherent sequences"

DSC00449.JPG
Workshop details
Lecture notes from this workshop by Roberto Pichardo Mendoza (PDF)
List of participants in this workshop

September 9, 2006, at Carnegie Mellon University in Pittsburgh PA
The inaugural workshop, which was led by Paul Larson, was an "Introduction to Pmax forcing"

Larson1.jpg
Workshop details
Lecture notes from this workshop by Paul Larson (PDF; Final version 10/09)
List of participants in this workshop

Planning committee

Elizabeth Brown, James Cummings, Alan Dow, Todd Eisworth, Paul Larson, Justin Moore and Ernest Schimmerling