Year of Algebra at the University of Florida

佛罗里达大学代数年

• 批准号: 0206201
• 负责人: Helmut Voelklein
• 金额: $ 3.5万
• 依托单位: University of Florida
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-07-01 至 2003-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0206201&HistoricalAwards=false
• 关键词: Year; Algebra; University; Florida

The Year of Algebra 2002- 2003 at the University of Florida is highlighted by the celebration of the 70th birthday of JohnG. Thompson. The general theme of the Year of Algebra is provided by the wider context of Thompson's monumental contributions: the beauty and power of group theory, and how it applies to problems ofarithmetic via the basic principle of Galois. The Year of Algebra features a conference in Galois Theory (Nov. 3--9, 2002), a conferencein Group Theory (March 9--16, 2003) and a workshop on ComputationalAspects of Algebraic Curves, and Cryptography (March 9--15, 2003).The Galois conference centers around the Inverse Problem of GaloisTheory, one of the major open problems of mathematics. The conferenceon Finite Group Theory has speakers involved in the completion/revision of the Classification, as well as speakers in RepresentationTheory, and applications of Finite Groups to Finite Geometries andother areas. The workshop deals with interactions between modern computational tools/questions and the theory of algebraic curves,emphasizing the application to public key cryptography. It has a strong instructional component (mini-courses).Group Theory is the abstract study of symmetry patterns (of anyobject), and Galois Theory provides tools for applying Group Theoryto algebra and arithmetic. Recent applications to data security(public key cryptography) are the topic of the workshop. Galois Theory and Group Theory have further applications to physics, chemistry and coding theory. The Year of Algebra provides anopportunity for young mathematicians, women and minorities to learn the latest advances. It was John G. Thompson who shaped finite group theory like no-one else, leading the way towards a major milestone of 20th century mathematics, the classificationof finite simple groups. After the classification, it was againJ. Thompson who led the way in exploring its implications forGalois Theory. For these contributions, Thompson has recentlybeen awarded the National Medal of Science. He also won the FieldsMedal, the highest honor in mathematics. For the Year of Algebra,University of Florida Graduate Research Professor John G. Thompsonacts as an advisor. His powerful ideas continue to inspire the young.We want to use this opportunity in a special effort to integrateresearch and education during the Year of Algebra. While the twoconferences emphasize latest advances in research, the workshop has a strong instructional component.

2002- 2003年在佛罗里达大学的代数年是由JohnG的70岁生日的庆祝活动突出。汤普森 代数年的总主题是由汤普森的不朽贡献提供的更广泛的背景：群论的美丽和力量，以及它如何通过伽罗瓦的基本原理应用于算术问题。2002年代数年的特点是伽罗瓦理论会议（2002年11月3日至9日），群论会议（2003年3月9日至16日）和代数曲线和密码学计算方面的研讨会（2003年3月9日至15日）。伽罗瓦会议围绕伽罗瓦理论的逆问题，数学的主要开放问题之一。有限群理论会议的发言者参与了分类的完成/修订，以及RepresentationTheory的发言者，以及有限群在有限几何和其他领域的应用。该研讨会涉及现代计算工具/问题与代数曲线理论之间的相互作用，强调公钥密码学的应用。群论是对（任何物体的）对称性模式的抽象研究，伽罗瓦理论提供了将群论应用于代数和算术的工具。研讨会的主题是最近在数据安全方面的应用（公钥加密）。伽罗瓦理论和群论在物理、化学和编码理论中有进一步的应用。代数年为年轻数学家、妇女和少数民族提供了学习最新进展的机会。 是约翰·G。汤普森谁塑造有限群论没有人喜欢，领导的方式走向一个重大里程碑的20世纪数学，分类有限简单的群体。 分类后，又是J.汤普森，他在探索伽罗瓦理论的意义上起了带头作用。 由于这些贡献，汤普森最近被授予国家科学奖章。他还赢得了菲尔兹奖章，最高的荣誉在数学。对于代数年，佛罗里达大学研究生研究教授约翰G。汤普森担任顾问。他强有力的思想继续激励着年轻人。我们希望利用这个机会，在代数年期间特别努力地整合研究和教育。虽然这两个会议强调研究的最新进展，但研讨会有很强的教学组成部分。