Organizing Committee
 Lauren Williams
Mercyhurst University  David Wilson
Microsoft Research
Abstract
Cluster algebras are commutative algebras with a distinguished set of generators grouped into overlapping subsets of fixed cardinality; the generators and the relations among them are not given from the outset, but are produced by an iterative process of successive mutations. These algebras were developed to explain the "Laurent phenomenon", in which certain a priori rational functions defined by these mutations turn out to always be Laurent polynomials. Cluster algebras encode a surprisingly widespread range of phenomena in settings as diverse as quiver representations, Teichmüller theory, invariant theory, tropical calculus, Poisson geometry, and polyhedral combinatorics. This workshop will explore the connection between cluster algebras and various topics in statistical physics, including the dimer model on surfaces, integrable systems such as the KP equation, and certain dynamical systems (Y and Qsystems) which play an important role in the theory of the thermodynamic Bethe Ansatz.
Confirmed Speakers & Participants

Melody Chan
Harvard University

Philippe di Francesco
University of Illinois at UrbanaChampaign

Michael Gekhtman
University of Notre Dame

Max Glick
University of Michigan

Andrew Hone
University of Kent at Canterbury

Theo JohnsonFreyd
University of California, Berkeley

Adrien Kassel
Ecole Nationale Suptrieure des Ttltcommunications

Rinat Kedem
University of Illinois at UrbanaChampaign

Bernhard Keller
Universite de Paris VII (Denis Diderot)

Richard Kenyon
Brown University

Ryan Kinser
Northeastern University

Yuji Kodama
Ohio State University

Christian Korff
University of Glasgow

Chulhee Lee
University of California, Berkeley

Kyungyong Lee
Wayne State University

Nan Li
Massachusetts Institute of Technology

Kenichi Maruno
University of Texas Pan American

Karola Meszaros
Massachusetts Institute of Technology

Jim Morrow
University of Washington

Gregg Musiker
University of Minnesota

Tomoki Nakanishi
Nagoya University

James Propp
UMass Lowell

Pavlo Pylyavskyy
University of Minnesota

Steven Sam
Massachusetts Institute of Technology

Ralf Schiffler
University of Connecticut

Michael Shapiro
Michigan State University

Linhui Shen
Yale University

Salvatore Stella
Northeastern University

Nike Sun
Stanford University

Kelli Talaska
University of California, Berkeley

Peter Tingley
Loyola University

Zhen Wei
University of Virginia

Harold Williams
University of California, Berkeley

Lauren Williams
Mercyhurst University

David Wilson
Microsoft Research

Wei Wu
Brown University

Andrei Zelevinsky
Northeastern University