报告题目:Recent developments in Ramsey theory
报告人:Robert Morris 巴西IMPA数学教授
主持人:黄云清 湘潭大学教授 湖南国家应用数学中心主任
报告时间:2026年9月29日(星期二)下午16:00-17:00
报告地点:湘潭大学数学与计算科学学院A501学术报告厅
报告摘要:In combinatorics, one is often presented with a large “unstructured” object, and asked to find a smaller “structured” object inside it. One of the earliest and most influential examples of this phenomenon was the theorem of Ramsey, proved in 1930, which states that if n= n(k) is large enough, then in any red-blue colouring of the edges of the complete graph on n vertices, there exists a monochromatic clique with k vertices.
Over the past few years there have been a series of remarkable breakthroughs related to Ramsey's theorem. In this talk we will first give a gentle introduction to the area, and then discuss a few of these, including an exponential improvement for the diagonal Ramsey numbers, and some amazing new constructions for off-diagonal Ramsey numbers.
报告人简介:
Robert Morris,1981年1月30日出生,研究图论组合及其和概率论的交叉,ICM2026一小时大会报告者、ICM2018邀请报告者,获斯蒂尔开创性研究贡献奖(美国数学会)、George Pólya奖(国际工业与应用数学学会)、美洲数学委员会奖(MCA Prize)、巴西数学会奖等,在Ann. Math.、J. Amer. Math. Soc.、Invent. Math.等上发表论文。
湖南韶峰应用数学研究院
湖南国家应用数学中心
到家集团
湘潭大学数学与计算科学学院
湖南省数学学会
湘潭国家高新技术产业开发区
湘潭市大数据和产业创新发展中心
“智能计算与信息处理”教育部重点实验室
“科学工程计算与数值仿真”湖南省重点实验室
“计算科学”湖南省科技创新国际合作基地