Year of Algebra at the University of Florida

佛罗里达大学2002-2003代数学年的亮点是庆祝约翰格的70岁生日。汤普森。代数年的总主题是汤普森不朽贡献的更广泛的背景：群论的美和力量，以及它如何通过伽罗瓦基本原理应用于算术问题。代数年有一个伽罗瓦理论会议(2002年11月3日至9日)，一个群论会议(2003年3月9日至16日)和一个关于代数曲线的计算方面和密码学的研讨会(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展开，伽罗瓦理论是主要的数学公开问题之一。关于有限群理论的会议有参与完成/修订分类的演讲者，以及表示理论、有限群在有限几何和其他领域的应用的演讲者。研讨会讨论现代计算工具/问题与代数曲线理论之间的相互作用，重点是在公钥密码学中的应用。它有很强的教学成分(迷你课程)。群论是对(任何物体)对称模式的抽象研究，伽罗瓦理论提供了将群论应用于代数和算术的工具。最近在数据安全方面的应用(公钥密码学)是研讨会的主题。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。代数年为年轻的数学家、女性和少数族裔提供了一个学习最新进展的机会。正是约翰·G·汤普森独树一帜地塑造了有限群论，引领着20世纪数学的一个重要里程碑--有限单群的分类。分类之后，又是J。汤普森带头探索了它对伽罗瓦理论的影响。由于这些贡献，汤普森最近被授予国家科学奖章。他还获得了菲尔兹奖，这是数学领域的最高荣誉。在代数年，佛罗里达大学研究生研究教授约翰·G·汤普森担任顾问。他强大的思想继续激励着年轻人。我们想利用这个机会，在代数年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，但研讨会具有很强的指导性成分。

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.