RIMS WORKSHOP

ALGEBRAIC COMBINATORICS

Monday 16 - Thursday 19 December 2002
Research Institute for Mathematical Sciences
Kyoto University

Monday 16 December

13.00 - 13.25	Rie Hosoya (Kanazawa University)
	On the association schemes of type II matrices constructed on conference graphs
13.25 - 13.50	Masayoshi Yoshikawa (Shinshu University)
	Modular adjacency algebras of the Hamming association schemes
14.00 - 14.25	Jun Hatano (Chiba University)
	On certain sharp characters of rational type
14.25 - 14.50	Mina Hagie (Kumamoto University)
	The prime graph of a sporadic simple group
15.00 - 15.50	Hiroshi Suzuki (International Christian University)
	Terwilliger algebras and substructures of a distance-regular graph
16.00 - 16.50	Paul Terwilliger (University of Wisconsin)
	Two linear transformations each tridiagonal with respect to an eigenbasis
	of the other: Recent progress on Leonard pairs

Tuesday 17 December

09.20 - 10.00	Akihide Hanaki (Shinshu University)
	Block decomposition of standard modules
10.10 - 10.50	Hiroshi Mizukawa (Hokkaido University)
	Fisher matrices and $(n+1,m+1)$ hypergeometric functions
11.10 - 11.50	S. Bang$^{\ast}$, J. H. Koolen (POSTECH) and V. Moulton (Mid Sweden University)
	A bound on the length $\ell_{(c,a,b)}$ for a distance-regular graph
	and an application for the Bannai-Ito Conjecture
12:00 - 12:40	Alexander A. Ivanov (Imperial College)
	Extended $F_4$-buildings and the Baby Monster
14.00 - 14.30	Takuya Ikuta (Kobe Gakuin Women's College)
	Some special cases of non-amorphous association schemes with A.V.Ivanov's condition
14.35 - 15.05	Etsuko Bannai (Kyushu University) (joint work with Eiichi Bannai)
	On tight Euclidean designs
15.15 - 15.45	Jung Rae Cho (Pusan National University)
	Counting of derived operations and determining structures of algebras

15.50 - 16.20	Sejeong Bang (POSTECH) and Mitsugu Hirasaka$^{\ast}$ (Pusan National University)
	Construction of non-commutative $p$-valenced association schemes
	whose thin residue is an elementary abelian $p$-group of rank 2
16.25 - 16.45	Akane Katamoto (Kyushu University)
	On the distribution of eigenvalues of a finite upper halfplane graph
17.00 - 17.20	Eiichi Bannai (Kyushu University)
	On the work of Tosiro Tsuzuku (1929-2002) on finite permutation groups
17.25 - 17.45	Tomoyuki Yoshida (Hokkaido University)
	Reminiscences of Prof. Tsuzuku

Wednesday 18 December

09.20 - 10.10	Masahiko Miyamoto (Tsukuba University)
	The $C_2$-condition on VOA and modular invariance
10.25 - 11.15	Hiroshi Yamauchi (Tsukuba University)
	VOA with two Miyamoto involutions that generate $S_3$
11.30 - 12.20	Hiromichi Yamada (Hitotsubashi University)
	Irreducible modules for $W_3$-algebra
13.40 - 14.30	Kiyokazu Nagatomo (Osaka University)
	At the heart of conformal field theory
14.50 - 15.40	Ching Hung Lam (National Cheng Kung University, Taiwan)
	Lattice VOA $V_{\sqrt{2}E_8}$ and a Miyamoto algebra of central charge $\frac{1}2 +\frac{21}{22}$
16.00 - 16.50	Michael P. Tuite (National University of Ireland Galway)
	Generalised Moonshine from Orbifolds

Thursday 19 December

09.30 - 10.20	Katsuhiro Uno (Osaka University)
	Variations of conjectures on counting irreducible characters of finite groups
10.30 - 11.20	Katsunori Sanada and Takao Hayami (Science University of Tokyo)
	On cohomology rings of generalized quaternion groups
13.00 - 13.50	Naoko Kunugi (Ochanomizu University)
	Constructing derived equivalences for blocks with p-rank 2 defect blocks
14.00 - 14.30	Tsunenobu Asai (Kinki University) and Takashi Niwasaki (Ehime University)
	Reducing the conjecture on the number of skew homomorphisms to the case of $p$-groups

Organisers: Tatsuro Ito (Kanazawa University), Eiichi Bannai (Kyushu University), Masahiko Miyamoto (Tsukuba University), Tomoyuki Yoshida (Hokkaido University). For further information contact Tatsuro Ito, Department of Computational Science, Faculty of Science, Kanazawa University, Kanazawa 920-1192 (tel: 076-264-6070, fax: 076-264-6065, e-mail: tatsuro@kenroku.kanazawa-u.ac.jp).