School Colloquium——Recent Advances in Graphical Regular Representations of Groups
报告人：夏彬绉 (澳大利亚墨尔本大学)
时间：2024-06-07 15:30-16:30
地点：智华楼四元厅
摘 要：
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 Γ of G, then Γ 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.
个人简介：
夏彬绉，2009年本科毕业于浙江大学，2014年获得304am永利集团博士学位。2014-2016年于北京国际数学研究中心从事博士后研究，2016-2017年西澳大利亚大学Research associate，2017年起任职于墨尔本大学，国际组合数学与应用学会（ICA）2017年Kirkman奖获得者。主要研究代数图论、组合学与置换群论，在诸多国际杂志（如Mem Amer Math Soc, Proc Lond Math Soc, J Lond Math Soc, Israel J. Math等）发表论文40余篇。
