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：
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.
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).
Title: A classification of regular maps with Euler characteristic a
negative prime quadratic
Speaker: 李小刚 Xiaogang Li (SUSTech)
Time: 16:00-17:00 (GMT+8), December 24th
Location: Zoom: 262 780 8767 (passcode: gts2025)
Abstract:
In this report, we will give a classification of all regular maps \(\mathcal{M}\) on nonorientable surfaces with Euler
characteristic \(−p^3\) for some prime \(p ≥ 5\). Explicitly, it is proved that either \(\mathcal{M}\) has type \(\{4, m\}\) and
\(Aut(\mathcal{M}) \cong (\mathbb{Z}_2 × \mathbb{Z}_2) ⋊ \mathbb{D}_{2m}\), where \(m \equiv 3 \pmod{6}\) and \(m−4 = p^3\); or \(\mathcal{M}\) has type \(\{2m, 2n\}\)
and \(Aut(\mathcal{M}) \cong \mathbb{D}_{2m} × \mathbb{D}_{2n}\), where \(1 < m < n \), \(2 ∤ m\), \( \gcd(m, n) = 1\) and \(mn − m − n = p^3\). In particular,
there exists no such map provided \(p ≡ 1\pmod{12}\). Based on the currently available results, we also propose two
questions for further research. This is a joint work with Yao Tian.
The seminar is currently based at the Southern University of Science and Technology (SUSTech, 南方科技大学).