报告人：李抒行博士（Simon Fraser University）

报告时间：2021年7月1日，11:00-12:00

报告地点：腾讯会议: 842 663 916

报告摘要：

  The linked systems of symmetric designs originated from Peter Cameron’s study on the permutation representation of groups back to 1970’s. The strong yet delicate symmetry within the linked systems of symmetric designs have made them very attractive configurations and enlightening connections with other objects including association schemes and mutually unbiased bases have been revealed over the course of the last five decades. On the other hand, except the linked systems derived from the Kerdock sets, very few examples were known until 2014, when James Davis, William Martin, and John Polhill investigated a special subclass of linked systems of symmetric designs named linking system of difference sets and proposed numerous constructions in 2-groups. Greatly inspired by this work, we further enriched the constructions of linking system of difference sets in 2-groups. The core idea of our construction was to integrate the elegant configuration named difference matrices with the well known McFarland construction of difference sets.

This is joint work with Jonathan Jedwab and Samuel Simon.

References

[1] J. A. Davis, W. J. Martin, and J. B. Polhill. Linking systems in nonelementary abelian groups, Journal of Combinatorial Theory Series A, 2014.

[2] J. Jedwab, S. Li, and S. Simon. Linking systems of difference sets, Journal of Combinatorial Designs, 2019.

[3] B. G. Kodalen. Linked systems of symmetric designs, Algebraic Combinatorics, 2019.

邀请人：汪馨、季利均