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 Q-systems) which play an important role in the theory of the thermodynamic Bethe Ansatz.
Confirmed Speakers & Participants
Talks will be presented virtually or in-person as indicated in the schedule below.
- Speaker
- Poster Presenter
- Attendee
- Virtual Attendee
-
Melody Chan
Harvard University
-
Philippe di Francesco
University of Illinois at Urbana-Champaign
-
Michael Gekhtman
University of Notre Dame
-
Max Glick
University of Michigan
-
Andrew Hone
University of Kent at Canterbury
-
Theo Johnson-Freyd
University of California, Berkeley
-
Adrien Kassel
Ecole Nationale Suptrieure des Ttltcommunications
-
Rinat Kedem
University of Illinois at Urbana-Champaign
-
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
-
Chul-hee 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