Design Theory from the Viewpoint of Algebraic Combinatorics
Oct. 14 - Oct. 21, Three Gorges Mathematical Research Center (TGMRC), China Three Gorges University (CTGU)
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All talks are in Room L-2620 at Three Gorges Math Research Center at China Three Gorges University in Yichang, Hubei, China.
Oct. 14 (Arrival day)
Oct. 15
| Time |
Speaker |
Title |
| 09:00 - 09:50 |
Eiichi Bannai (坂内英一) |
Design theory from the viewpoint of algebraic combinatorics: an overview of design theory |
| 10:00 - 10:50 |
Tatsuro Ito (伊藤達郎) |
The Terwilliger algebra of a tree |
| 11:00 - 11:50 |
Wei-Hsuan Yu (俞韋亘) |
Saturated configuration and new large construction of equiangular lines |
| 14:00 - 14:50 |
Yen-Chi Lin (林延輯) |
On the Lemmens-Seidel conjecture |
| 15:00 - 15:50 |
Sho Suda (須田庄) |
On tight \(4\)-designs in Hamming association schemes |
| 16:00 - 16:50 |
Xiaodong Zhang (張曉東) |
Some extremal spectral results with forbidden linear forests |
Oct. 16
| Time |
Speaker |
Title |
| 09:00 - 09:50 |
Ziqing Xiang (向子卿) |
Explicit constructions of designs |
| 10:00 - 10:50 |
Ziqing Xiang (向子卿) |
Existence of rational designs |
| 11:00 - 11:50 |
Yan Zhu (朱豔) |
Relative \(t\)-designs on Johnson association scheme |
| 14:00 - 14:50 |
Huye Chen (陳虎葉) |
On edge-transitive factorizations of complete uniform hypergraphs |
| 15:00 - 15:50 |
Lin Zhu (朱林) |
On cyclotomic association schemes |
| 16:00 - 16:50 |
Mikio Nakahara (中原幹夫) |
On relevance of quantum information and quantum computing in combinatorics research |
Oct. 17 (Break)
Oct. 18
| Time |
Speaker |
Title |
| 09:00 - 09:50 |
Shayne Waldron |
Tight frames and spherical designs |
| 10:00 - 10:50 |
Shayne Waldron |
The construction and classification of tight frames |
| 11:00 - 11:50 |
Da Zhao (趙達) |
On polynomial association schemes |
| 14:00 - 14:50 |
Suogang Gao (高鎖剛) |
The Terwilliger algebras of distance-transitive graphs |
| 15:00 - 15:50 |
Sergey Goryainov |
Divisible design graphs and dual Seidel switching |
| 16:00 - 16:50 |
Jack Koolen |
TBA |
Oct. 19
| Time |
Speaker |
Title |
| 09:00 - 09:50 |
Ziqing Xiang (向子卿) |
New lower bound on the sizes of designs |
| 10:00 - 10:50 |
Ziqing Xiang (向子卿) |
Diophantine equations related to tight designs |
| 11:00 - 11:50 |
Wei-Hsuan Yu (俞韋亘) |
New construction for real and complex spherical designs |
| 14:00 - 14:50 |
Eiichi Bannai (坂内英一) |
Unitary \(t\)-designs and unitary \(t\)-groups |
| 15:00 - 15:50 |
Etsuko Bannai (坂內悅子) |
On four-distance complex \(T\)-designs obtained by spherical embeddings of association schemes |
| 16:00 - 16:50 |
Hao Shen (沈灝) |
PBD-closed sets and the existence of combinatorial designs |
Oct. 20
| Time |
Speaker |
Title |
| Morning |
|
Discussion |
| 14:00 - 14:50 |
Yuehui Zhang (張躍輝) |
Directed partial orders on the field of generalized complex numbers |
| 15:00 - 15:50 |
Feng-Yuan Liu (劉豐源) |
New semidefinite programming bounds for spherical three-distance sets |
| 16:00 - 16:50 |
Haiyan Guan (關海豔) |
Point-primitive linear spaces with number of points being a product of two primes |
Oct. 21
| Time |
Speaker |
Title |
| 09:00 - 09:50 |
Yan Zhu (朱豔) |
Tight complex spherical \(t\)-designs |
| 10:00 - 10:50 |
Da Zhao (趙達) |
Dig up the Weisfeiler-Lehman algorithm |
| 11:00 - 11:30 |
Yuezhong Zhang (張躍忠) |
Some results of tight relative \(2\)-designs on the folded \(n\)-cube |