Informal Combinatorics Seminar

@ Fields

Thursdays 2pm - 4pm

Fall 2002

3rd Floor Library 
The Fields Institute for Research in Mathematical Sciences
222 College Street · Toronto, Ontario · M5T 3J1 · Canada

Welcome to ICS@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. 

Current topic:


Crystal Bases and Representation Theory


  1. Masaki Kashiwara, On Crystal Bases, Proceedings of the 1994 Annual Seminar of the Canadian Mathematical Society, Banff Centre, Banff, Alberta, Canada, June 15-24, 1994.  [pdf]  [psCMS Conference Proceedings, Volume 16, 1995.
  2. Introduction to Quantum Groups and Crystal Bases, by Jin Hong and Seok-Jin Kang, Korea Institute for Advanced Study, AMS 2002.
  3. Crystallizing the q-analogue of universal enveloping algebras, Proceeding of the International Congress of Mathematicians, Kyoto, Japan, 1990, The Mathematical Society of Japan (1991) 791--797. 
  4. On crystal bases of the q-analogue of universal enveloping algebras, Duke Math. J. 63 (1991) 465--516.
  5. Maple program (and worksheet) to do the computation that was done by hand on 9/19.
Date Speaker Subject
9/19 Alejandra Premat Rep theory of sl_2
9/26 Alejandra Premat crystal bases of U_q(sl_2)
10/3 Alejandra Premat crystal bases of U_q(sl_2)
10/10 Alejandra Premat crystal bases of U_q(g)
10/17 Geanina Tudose crystal bases of U_q(sl_n)
10/24 Geanina Tudose tableaux and crystal bases of U_q(sl_n)
10/31 everyone Some questions we would like to answer
11/7 Mike Zabrocki perfect crystals of U_q'(g)
11/14 Mike Zabrocki perfect crystals and paths - Examples
11/21 Mike Zabrocki X = M
11/28 Hugh Thomas
12/5 Hugh Thomas

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 talk to Geanina.

Past topics:


None! We just started on 9/19

For more information contact: 
Geanina Tudose -
For information/corrections concerning this web page contact:
Mike Zabrocki -