Institute of Mathematics for Industry

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The 1st Combinatorics Seminar, 2012


Hold Date 2012-06-02 13:00~2012-06-02 18:00

Place NIshijin Plaza, Kyushu University

Object person  

Speaker Osamu Shimabukuro (Sojo University), Koji Tasaka (Kyushu University), Hiroaki Kido (Fukuoka University), Masakazu Akiyama (Kyushu University)

Program

13:00-13:50
Osamu Shimabukuro (Sojo University)
Title: On structures of modular adjacency algebras of Johnson schemes
Abstract:
We consider algebras over a field of characteristic p which are generated by adjacency
algebras of Johnson schemes. If the algebra is semisimple, the structure is the same as
 that of the well-known Bose-Mesner algebras. We determine the structure of the algebra
 when it is not semisimple


14:05-14:55
Koji Tasaka (Kyushu University)
Title: The formulas of representing integers as sums of squares


15:25-16:15
Hiroaki Kido (Fukuoka University)
Title: On the extension of sizes of generalized Hadamard matrices


16:30-17:20
Masakazu Akiyama (Kyushu University)
Title: A Mathematical Model of Cleavage


 


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