Algebraic Combinatorics Seminar 

2nd Floor, Room 210
The Fields Institute for Research in Mathematical Sciences
222 College Street Toronto, Ontario M5T 3J1 Canada


Welcome to ACS@Fields.

  The purpose of this seminar is to cover exposition on topics of algebraic combinatorics which are of interest to the people attending,
so please feel free to come and participate
.

  We also organize special sessions jointly with the Applied Algebra Seminar   (York University)


Fields Reading Sessions

Fridays 3:30pm - 5:00pm


Next Special Session 

None






Fall 2005 - Winter 2006 topic:  Cluster Algebras and Quivers




Programme:

Date Speaker Subject
09/09
Special Session
Manfred Schocker (Swansea)

Witt vectors, modular Lie powers and the Solomon descent algebra
09/14
Special Session at 2h30pm
Adriano Garsia (San Diego)

r-Qsym over Sym is free
09/23
Information meeting Information meeting
09/30
No session
No session
10/07
Anouk Bergeron-Brlek (York University) The Cartan-Killing classification
10/14
Philippe Choquette (York University) Cluster algebras: definition and first examples I
10/21
Philippe Choquette (York University) Cluster algebras: definition and first examples II
10/28
Philippe Choquette (York University) Cluster algebras: definition and first examples III
11/04
Huilan Li (York University) Classification of finite type cluster algebras I
11/11
No session
No session
11/18
Huilan Li (York University) Classification of finite type cluster algebras II
11/25
Special Session
  Carsten Lange (University of Washington)

Realizations of the associahedron and cyclohedron
12/02
Huilan Li (York University) Classification of finite type cluster algebras III
12/09
No session
No session

Holydays


01/27
Ziting Zeng (York University)
Cluster complex and generalized associahedra
02/03
Ziting Zeng (York University) Cluster complex and generalized associahedra II
02/24
Special Session
  Alexander Yong (The Fields Institute & University of Minnesota)

Having a ball with Young tableaux
03/03
Andrew Douglas (University of Toronto)
Quivers: an introduction
03/10
Hugh Thomas  (University of New Brunswick)
Cluster Category




Selected bibliography on Cluster Algebras

S. Fomin and A. Zelevinsky, Cluster algebras. I. Foundations, J. Amer. Math. Soc. 15(2) (2002), 497- 529 (electronic).
S. Fomin and A. Zelevinsky, Cluster algebras. II. Finite type classification, Inventiones Mathematicae 154 (2003), 63-121.
S. Fomin and A. Zelevinsky, Y-Systems and generalized associahedra, Ann. of Math 158 (2003), 977-1018
A. Berenstein, S. Fomin and A. Zelevinsky, Cluster algebras. III. Upper bounds and double Bruhat cells, Duke Math. J. 126(1)  (2005), 1-52.
P. Caldero, F. Chapoton and R. Schiffler, Quivers with relations arising from clusters (A_n case), to appear in Trans. Amer. Math. Soc. (2004).
P. Caldero, F. Chapoton and R. Schiffler, Quivers with relations and cluster tilted algebras (2004).
S. Fomin and N. Reading, Root systems and generalized associahedra (Lectures Notes) (2005)
S. Fomin and A. Zelevinsky, Cluster algebras: Notes for the CDM-03 conference (2004)

See also the web page  of the reading sessions on cluster algebras,  Lyon, France (in french)

You will find more on cluster algebras on the ArXiv


If you have a suggestion for a topic please bring it up for discussion it at the next seminar. 
If you would like to contribute by preparing a presentation please send me an email.

  




Past topics:


Spring 2005 - Formal languages and analytic classes of functions

Fall 2004 - (Quasi-) Symmetric functions in noncommutative variables and applications

Fall 2003 - Quasi-symmetric functions and applications

Winter 2003 - Topic Crystal bases for superalgebras

Fall 2002 - Topic Crystal bases


For more informations (or corrections concerning this web page), contact
  Christophe Hohlweg - chohlweg(nospam)@(nospam)fields.utoronto.ca