US-Hungarian Mathematics: Summer Study Program in Combinatorics, July 2011, Budapest, Hungary

美国-匈牙利数学：组合数学暑期学习项目，2011 年 7 月，匈牙利布达佩斯

• 批准号: 1057486
• 负责人: Bela Bollobas
• 金额: $ 3.5万
• 依托单位: University of Memphis
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-03-15 至 2012-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1057486&HistoricalAwards=false
• 关键词: US; Hungarian; Mathematics; Summer; Study

In recent decades, combinatorics has matured into a major branch of mathematics, demonstrating important connections with probability theory, number theory, geometry, computer science, and other fields. This two-week summer program in July 2011 will introduce fifteen U.S. PhD student participants to some core areas of modern combinatorics through an internationally mentored program of study at the Eötvös Loránd University, in Budapest, Hungary. The program will be led by U.S. principal investigator, Professor Bela Bollobas of the University of Memphis, in cooperation with faculty in the Department of Computer Science at Eötvös University. As a foundation for the student-centered activities, there will be four lecture series: "Random Geometric Graphs" by Professor Paul Balister of the University of Memphis, "Percolation" by Professor Bela Bollobas, "Algebraic and Geometric Methods in Additive Combinatorics" by Professor Gyula Karolyi of Eötvös University, and "Ramsey Theory" by Professor Imre Leader of the University of Cambridge. The lecturers will present fundamental and recent results as well as open problems central to advancing these topics--topics which have important applications to internet and wireless technology and offer insights into the science of neural networks. The daily schedule will consist of morning lectures and afternoon workshops. Throughout this summer program in combinatorics, the students will present papers on topics related to the courses, give informal seminars, and work in small groups. There will be ample opportunity to attend seminars given by established mathematicians. In the summer school, the junior U.S. participants will interact with international student counterparts and senior researchers, not only from Eötvös University, but also from the Alfréd Rényi Institute and the Computer and Automation Institute of the Hungarian Academy of Sciences (SZTAKI), as well as the University of Cambridge and other centers of learning in Europe. Overall, the well integrated program will promote learning in both theoretical and applied contexts. Broader impacts include an early career introduction for the U.S. PhD students to an international professional network consisting of renowned European experts in combinatorics.

近几十年来，组合数学已经发展成为数学的一个主要分支，展示了它与概率论、数论、几何、计算机科学和其他领域的重要联系。2011 年 7 月的这个为期两周的暑期课程将向 15 名美国博士生学员介绍。通过匈牙利布达佩斯罗兰大学的国际指导研究项目，研究现代组合学的一些核心领域。该项目将由美国首席研究员贝拉·博洛巴斯 (Bela Bollobas) 教授领导。孟菲斯大学与埃特沃斯大学计算机科学系的教师合作，作为以学生为中心的活动的基础，将有四个系列讲座：孟菲斯大学 Paul Balister 教授的“随机几何图”。 、Bela Bollobas 教授的《渗透》、Eötvös 大学 Gyula Karolyi 教授的《加法组合中的代数和几何方法》、Eötvös 大学 Gyula Karolyi 教授的《Ramsey 理论》剑桥大学的 Imre Leader 讲师将介绍基本的和最新的结果以及推进这些主题的核心开放问题——这些主题对互联网和无线技术有重要的应用，并提供对神经网络科学的见解。日程安排将包括上午的讲座和下午的研讨会。在整个夏季组合学课程中，学生将发表与课程相关的主题论文，举行非正式研讨会，并以小组形式参加。在夏天。在学校期间，美国初级参与者将与国际学生人员和高级研究人员进行互动，这些人员不仅来自埃特沃什大学，还来自阿尔弗雷德·雷尼研究所、匈牙利科学院计算机与自动化研究所 (SZTAKI) 以及该大学总体而言，这个整合良好的项目将促进理论和应用领域的学习，包括为美国博士生提供早期职业介绍，帮助他们进入国际专业网络。由著名的欧洲组合学专家组成。