报告题目：FLAG TRANSITIVE GEOMETRIES WITH TRIALITIES AND NO DUALITIES COMING 

 FROM SUZUKI GROUPS

报告学者：Dimitri Leemans教授

报告者单位：比利时布鲁塞尔自由大学

报告时间：2024年7月11日（周四）18:00-20:00

报告地点：北区四号教学楼213室

报告摘要：We construct the first infinite family of incidence geometries of rank three that are flag transitive and have trialities but no dualities. These geometries are constructed using chamber systems of Suzuki groups Sz(q) (where q = 22e+1 with e a positive integer and 2e + 1 is divisible by 3) and the trialities come from field automorphisms. We also construct an infinite family of regular hypermaps with automorphism group Sz(q) that admit trialities but no dualities.

报告人简介：比利时布鲁塞尔自由大学Dimitri教授博士毕业于布鲁塞尔自由大学是正则多面体领域国际专家，他在自同构群为几乎单群的多面体方面有很深的理解。截止2024年初共发表高水平科研论文100余篇，其中在综合类期刊TransAMS，ProcAMS发表多篇长文，在代数领域顶级刊物Journal of Algebre发表7篇，离散几何领域顶级刊物DCG上2篇等。