这是群论和图论方向的线上系列报告,我们希望能够促进国内外青年学者(博士生为主)在群论和图论研究上的交流。报告主题分布在(但不限于)以下研究方向:

- 有限单群(有限单群分类定理,子群结构,共轭类等)
- 置换群及其在组合结构上的作用
- 线性代数群与李型群
- 有限群的表示
- 有限\(p\)-群
- 图的谱理论

This is a platform for young group theorists and graph theorists (mostly PhD students) to talk about their research and related topics online. The topic can be anything related to group theory and graph theory, including but not limited to the following.

- Finite simple groups (CFSG, subgroup structures and conjugacy classes)
- Permutation groups and their actions on combinatorial structures
- Linear algebraic groups and Lie type groups
- Representations of finite groups
- Finite \(p\)-groups
- Spectral theory of graphs


Time

一般地,系列报告定期于北京时间每周三下午16:00-17:00进行。

Our usual time is Wednesday 16:00-17:00 (GMT+8).


Forthcoming Seminars

March 13th: 陈磊 Lei Chen (University of Western Australia)
Zoom 616 601 4311 (passcode: gts2024)
March 27th: 邓海华 Haihua Deng (SUSTech)
Zoom 616 601 4311 (passcode: gts2024)
April 10th: 伊涵玥 Hanyue Yi (SUSTech)
Zoom 616 601 4311 (passcode: gts2024)
April 24th: 于浩 Hao Yu (Capital Normal University)
Zoom 616 601 4311 (passcode: gts2024)
May 8th: Đorđe Mitrović (University of Auckland)
Zoom 616 601 4311 (passcode: gts2024)
May 15th: 曾青 Qing Zeng (Beijing Normal University)
Zoom 616 601 4311 (passcode: gts2024)
May 22nd: Coen del Valle (University of St Andrews)
Zoom 616 601 4311 (passcode: gts2024)

The Next Seminar

Title: Algebraic approaches to EKR properties of strongly regular graphs

Speaker: Sergey Goryainov (Hebei Normal University)

Time: 16:00-17:00 (GMT+8), Tuesday January 9th

Location: Zoom: 616 601 4311 (passcode: gts2024)

Abstract: In 2015, Chris Godsil and Karen Meagher proposed [GM15] systematical studies of EKR properties of strongly regular graphs. In particular, they emphasized two infinite families of strongly regular graphs: block graphs of orthogonal arrays and block graphs of 2-designs, and posed several interesting open problems. Recently, together with my colleagues Chi Hoi Yip and Elena Konstantinova, we made a progress (in [GY23] and [GK23], respectively) towards some of the problems. In my talk, we will discuss the background on the EKR properties of strongly regular graphs and our recent results.

[GM15] C. D. Godsil, K. Meagher, Erdős-Ko-Rado Theorems: Algebraic Approaches, Cambridge University Press (2015).

[GK23] S. Goryainov, E. V. Konstantinova, Non-canonical maximum cliques without a design structure in the block graphs of 2-designs, November 2023. arXiv:2311.01190

[GY23] S. Goryainov, C. H. Yip, Extremal Peisert-type graphs without the strict-EKR property, June 2023. arXiv:2306.00391

Other Confirmed Speakers

狄文帝 Wendi Di (SUSTech)

Current Organizers

陈俊彦 Junyan Chen (SUSTech)
丁兆宸 Zhaochen Ding (University of Auckland)
黄弘毅 Hong Yi Huang (University of Bristol)
尹富纲 Fu-Gang Yin (Central South University)

The seminar is currently based at the Southern University of Science and Technology (SUSTech, 南方科技大学).