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）
- - 置换群与传递图
- - 线性代数群与李型群
- - 有限群的表示
- - 有限\(p\)-群
- - 图的谱理论
我们欢迎更多的科研工作者参与到此系列报告中，分享最新的研究成果，课题综述，技巧方法等。如果您有意愿做报告，或者想为我们推荐报告人，请联系丁兆宸（邮箱
dzha470@aucklanduni.ac.nz）。
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 transitive graphs
- - Linear algebraic groups and Lie type groups
- - Representations of finite groups
- - Finite \(p\)-groups
- - Spectral theory of graphs
If you are a young group theorist or graph theorist, and want to give a talk, please drop an email to Zhaochen Ding at
dzha470@aucklanduni.ac.nz.
We would also love to hear any suggestions you have for speakers.
Don't worry if you have no new results -- we also warmly welcome any survey, or even a method that you find helpful, on any related topic.
Time
一般地，系列报告定期于北京时间每周二下午16:00-17:00进行。
Our usual time is Tuesday 16:00-17:00 (GMT+8).
Forthcoming Seminars
- September 26th: 夏彬绉 Binzhou Xia (The University of Melbourne)
Recent Advances in Graphical Regular Representations of Groups
Zoom 856 490 7913 (password: gtseminar)
- October 10th: 丁兆宸 Zhaochen Ding (University of Auckland)
Zoom 856 490 7913 (password: gtseminar)
- October 17th: 田瑶 Yao Tian (Capital Normal University)
Zoom 856 490 7913 (password: gtseminar)
- October 24th: Marina Anagnostopoulou-Merkouri (University of Bristol)
Zoom 856 490 7913 (password: gtseminar)
- November 7th: 朱文英 Wenying Zhu (Beijing Normal University)
Zoom 856 490 7913 (password: gtseminar)
- November 21st: 尹富纲 Fugang Yin (Central South University)
Zoom 856 490 7913 (password: gtseminar)
- December 5th: 陆建兵 Jianbing Lu (Zhejiang University)
Zoom 856 490 7913 (password: gtseminar)
The Next Seminar
Title: Recent Advances in Graphical Regular Representations of Groups
Speaker: 夏彬绉 Binzhou Xia (The University of Melbourne)
Time: 16:30-17:30 (GMT+8), Tuesday September 26th
Location: Zoom: 856 490 7913 (password: gtseminar)
Abstract:
The question of whether a group can be represented as the automorphism group of a graph was addressed in the early stages of graph theory.
If a group \(G\) is isomorphic to the automorphism group of a Cayley graph \(\Gamma\) of \(G\), then \(\Gamma\) is said to be a Graphical Regular Representation (GRR) of \(G\).
A classic result, established in the 1970s through a series of papers by various authors, determines which groups possess GRRs.
In this talk, I will delve into the more recent developments in GRRs, encompassing asymptotic enumeration, GRRs with prescribed valency, and some variations of GRRs.
Current Organizers
The seminar is currently based at the Southern University of Science and Technology (SUSTech, 南方科技大学).
丁兆宸 Zhaochen Ding (University of Auckland)
黄弘毅 Hong Yi Huang (University of Bristol)
谢贻林 Yilin Xie (SUSTech)