20130124 の履歴(No.3)
九州大学 代数・組合せ数学 日韓合同ワークショップ†
～ Japan-Korea Workshop on Algebra and Combinatorics ～
※暫定的で変更の可能性があります。
The 11th Japan-Korea Workshop on Algebra and Combinatorics will take place at Fukuoka City in Japan, from 24-25, January 2013. The workshop is held once a year, alternatively in Japan and in Korea. It is intended to provide researchers of both countries, especially young researchers including graduate students, with opportunities to exchange rather informal information of ongoing studies in the area.
Further information is available from the organizers below.
Organizers†
- Eiichi Bannai (Shanghai Jiao Tong University)
- Jung Rae Cho (Pusan National University)
- Mitsugu Hirasaka (Pusan National University)
- Tatsuro Ito (Kanazawa University)
- Hyun Kwang Kim (POSTECH)
- Jack Koolen (POSTECH)
- Yoshihiro Mizoguchi (Kyushu University),
- Akihiro Munemasa (Tohoku University)
Supported by†
Global COE Program "Education and Research Hub for Mathematics-for-Industry"
Date†
- January 24, 2013. 10:00-18:00
Location†
- Seminar Room 2 in ACROS Fukuoka Foundation 1-1-1 Tenjin, Chuo-ku, Fukuoka City, 810-0001 (see http://www.acros.or.jp/english/access/)
Accommodation†
The place of the workshop is located at Tenjin area which is in the center of Fukuoka City and closed to Nakasu and Hakata. You can find many hotels around Tenjin, Nakasu or Hakata (see http://www.booking.com/ ).
Program†
January 24 (Thursday) at Room 2 in ACROS Fukuoka†
- Openning Speech Yoshihiro Mizoguchi
- Chair: Akihiro Munemasa
- 10:00-10:45 Ferenc Szollosi(Tohoku University)
- Modular combinatorial designs and Hadamard matrices modulo 5
- 11:00-11:45 Gary Greaves (Tohoku University)
- TBA
- Chair: Mitsugu Hirasaka
- 13:30-14:15 Shun'ichi Yokoyama (Kyushu University / JST CREST)
- Developments in Computer Algebra Research: the Next Generation
- 14:30-15:45 Takao Komatsu (Hirosaki University)
- Poly-Cauchy numbers and their combinatorial properties
- Chair: Hyun Kwang Kim (POSTECH)
- 16:00-16:45 Jong Yoon Hyun (Ewha Womans University)
- A new family of strongly regular graphs using weakly regular p-ary bent functions
- 17:00-17:45 Phan Thanh Toan (POSTECH)
- TBA
January 25 (Friday) at at Room 2 in ACROS Fukuoka†
- Chair: Eiichi Bannai
- 10:00-10:45 Xiao-Dong Zhang (Shanghai Jiao Tong University)
- The Dirichlet eigenvalues of graphs and the Faber-Krahn Inequality
- 11:00-11:45 Ryuzaburo Noda
- Some upper bound for the number of blocks in block designs
- Chair: Tatsuro Ito
- 13:30-14:15 Joon Yop Lee (POSTECH)
- Multidimensional matrices uniquely recovered by their lines
- 14:30-15:45 Satoshi Tsujimoto (Kyoto University)
- Dunkl shift operators and Bannai-Ito polynomials
- Chair: Jack Koolen
- 16:00-16:45 Andreas Holmsen (KAIST)
- TBA
- 17:00-17:45 Jon-Lark Kim (Sogang University)
- TBA
- Closing Speech Yoshihiro Mizoguchi
Abstract†
Gary Greaves (Tohoku University)†
- Title: to be announced
- Abstract: to be announced
Jong Yoon Hyun (Ewha Womans University)†
- Title: A new family of strongly regular graphs using weakly regular p-ary bent functions
- Abstract:
We construct strongly regular graphs and association schemes by
using the weakly regular p-ary bent functions (from
to
), where p is a prime number. We obtain some useful sign function formulae for those functions, and these formulae are used for development of our main result. In fact, we find a new family of strongly regular graphs.
Andreas Holmsen (KAIST)†
Xiaojun Chen (The Hong Kong Polytechnic University)
- Title: TBA
- Abstract:TBA
Takao Komatsu (Hirosaki University)†
Title: Poly-Cauchy numbers and their combinatorial properties Abstract: We introduce some generalized poly-Cauchy numbers and show some com- binatorial properties. (to be updated)
Joon Yop Lee (POSTECH)†
- Title: Multidimensional matrices uniquely recovered by their lines
- Abstract:
We provide a method to determine if a q-ary multidimensional matrix is lonesum or not by using properties of linesums of lonesum mul- tidimensional matrices. In particular, we establish a graphic method that uses edge-colored graphs to determine if a binary multidimensional matrix is lonesum or not. We also provide two methods to determine if a q-ary mul- tidimensional matrix is lonestructure or not. The first one uses properties of line structures of lonestructure multidimensional matrices and the second one uses edge-colored directed multigraphs.
Ryuzaburo Noda†
- Title: Some upper bound for the number of blocks in block designs
- Abstract: TBA
Ferenc Szollosi(Tohoku University)†
- Title: Modular combinatorial designs and Hadamard matrices modulo 5
- Abstract:
Let m > 2 be an integer. An m-modular Hadamard matrix H of order n is an n ﾗ n matrix with (-1, 1) entries such that HHT nI(modm). In this talk we report on our recent advances regarding the existence of mod- ular Hadamard matrices. By introducing a new concept, called m-modular symmetric designs, we were able to give a complete classification of 5-modular Hadamard matrices. This is a joint work with Prof. Moon Ho Lee.
Phan Thanh Toan (POSTECH)†
- Title: to be announced
- Abstract: to be announced
Satoshi Tsujimoto (Kyoto University)†
- Title: Dunkl shift operators and Bannai-Ito polynomials
- Abstract:
We consider the operator which contains the first order shift operator and the reflac- tion operator, that we call Dunkl shift operator. Then the Bannai-Ito poly- nomials can be introduced as a sequence of the polynomial eigenfunctions of the Dunkl shift operator. We will discuss various aspects of the Bannai-Ito polynomials from the viewpoint of classical orthogonal polynomials.
Shun'ichi Yokoyama (Kyushu University / JST CREST)†
- Title: Developments in Computer Algebra Research: the Next Generation
- Abstract:
Producing computer algebra systems and related services (almost all are non-commercial) has been of great value in mathematical research. Recently, high-quality several web-based software development environments are born. They are highly interactive and much more focused on math al- gorithms, education, and pure mathematics research (e.g. algebra and com- binatorics) of course. In this talk, we introduce some of CAS-development projects that are currently going on.
Xiao-Dong Zhang (Shanghai Jiao Tong University)†
- Title: The Dirichlet eigenvalues of graphs and the Faber-Krahn Inequality
- Abstract:TBA
Joint work with Congpei An, Andreas Frommer, Bruno Lang, Ian Sloan and Womersley.
References
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[2]
[3]