The World of Combinatorial Representation Theory (Japanese page is here)


 November 8-11, 2005 ,

Research Institute for Mathematical Sciences, Kyoto University



Organizer

Hiroshi Mizukawa (Depertment of Mathematics, National Defense Academy in Japan)

Program(PDF)

Tuesday, Nov. 8

13:30--14:30
A generalization of Schur polynomials and Pieri's formula.
 
Yacehide Numata (Hokkaido University)
 
14:45--15:45
Several refined conjectures on TSSCPP and ASM.     
Masao Ishikawa (Tottori University)
 
16:00--17:00
The Faulhaber Formula for Sums of Powers and Nonintersecting Lattice Paths Counting
 Jiang Zeng (Institut Girard Desargues, Universit\'e Claude Bernard Lyon-I)


Wednesday, Nov. 9

10:00--11:00
On Kasatani's Conjecture and Crystallized Decomposition Numbers.
  Naoya Enomoto (RIMS)

11:15--12:15
Standard expression for the modular party algebras.
  Masashi Kosuda (Ryukyu University)

13:30--14:30 
        The Fourier transforms determine the Markov traces.
        Yasushi Gomi(Sophia University)

14: 45--15:45 
      BCn type Jackson integrals and 'elementary' symmetric polynomials.
        Masahiko Ito(Aoyama Gakuin University)

17:00--17:00
        Euler's pentagonal number theorem as a trace identity.
      Toru Umeda(Kyoto University)



Thursday, Nov. 10


10:00--11:00
One-dimensional surface growth models and Schur process.
  Tomohiro Sasamoto(Chiba University)

11:15--12:15
Integrable cellular automata and Kerov-Kirillov-Reshetikhin bijection.
  Taichiro Tkakagi(National Defense Academy) 

13:30-14:30
Crystal structure of the set of Lakshmibai-Seshadri paths
of an arbitrary level-zero shape.

  Daisuke Sagaki & Satoshi Naito (Tsukuba University)

14:45--15:45
Equality of stable one-dimensional sums and Lusztig's q-analogue of weight multiplicity.
  Mark Shimozono (Mathematics Department Virginia Tech)

16:00--17:00
On the computation of irreducible characters of finite reductive groups1.
  Toshiaki Shoji (Nagoya University)



Friday, Nov. 11



10:00--11:00
A factorial analogue of Schur's Q-functions and
equivariant cohomology.

  Takeshi Ikeda (Okayama University of Science)

11:15--12:15
On the computation of irreducible characters of finite reductive groups 2.
  Toshiaki Shoji (Nagoya University)