International Conference on Sequences and Codes

本项目支持来自美国大学的早期职业数学家参加序列与编码国际会议。会议由奈杰尔·波士顿（威斯康星）、罗伯特·卡尔德班克（普林斯顿）和乔纳森·杰德瓦布（西蒙·弗雷泽大学）组织，将于2006年7月17日至21日在加拿大温哥华举行。更多的信息可以在http://www.pims.math.ca/science/2006/06seqcodesThis网站上获得，会议将有助于培养一批拥有强大计算和分析工具的核心数学科学家，他们对在跨学科背景下应用数学感到兴奋。应用影响的一个例子是代数和组合结构（如Clifford代数）在多天线无线通信系统跨层设计中的价值。参与数学科学社区的价值在于实现多天线系统的前景，而不会超过单天线系统的信号处理复杂性。另一个例子来自新兴的多天线雷达领域，其中波形的设计和随后的回波处理决定了雷达从杂波中区分目标的能力，区分近距离目标的能力，以及在复杂场景中检测小目标的能力。所有这些都是关键的操作问题。会议将增加早期职业数学家的数量，他们欣赏数学的力量及其在工程学科中的重要作用。它将促进跨学科的探索和广度，并帮助早期职业数学家在与不同学科相关的不同文化中蓬勃发展。这种连接不同世界的能力对于学术和非学术事业的成功越来越重要。重点是理论和应用之间的协同作用，因为信息理论和编码是通过发现新的应用来推进的学科。本次会议将重点介绍这种协同作用的最新例子，特别是无线通信的时空编码和Clifford代数、量子信息论和量子纠错码、雷达和序列设计。不断发展的应用程序上下文有助于定义新的理论领域，并为人们认为有趣的内容提供衡量标准。以具体实例为基础的基本理论的发展往往阐明了正确的抽象概念，随着理论和实践的共同发展，这种抽象概念成为一种新的原始概念。当这种协同作用不存在时，总是有一种风险，即理论将脱离其原始应用环境并失去相关性。

This project supports participation by early career mathematicians from US universities in an International Conference on Sequences and Codes. It is organized by Nigel Boston (Wisconsin), Robert Calderbank (Princeton) and Jonathan Jedwab (Simon Fraser University), and will take place July 17-21, 2006 in Vancouver, Canada. More information is available on the web at http://www.pims.math.ca/science/2006/06seqcodesThis conference will contribute to the development of a core of mathematical scientists armed with powerful computational and analytical tools who are excited about applying mathematics in an interdisciplinary context. One example of applications impact is the value of algebraic and combinatorial structures such as Clifford algebras to cross layer design of multiple antenna wireless communication systems. The value of engaging the mathematical sciences community is to realize the promise of multiple antenna systems without exceeding the signal processing complexity of single antenna systems. Another example comes from the emerging area of multiple antenna radar, where thedesign of the waveform and the subsequent processing of the return determine the ability of the radar to discriminate targets from clutter, to discriminate closely spaced targets, and to detect small targets in complex scenes. All these are critical operational issues.The conference will increase the pool of early career mathematicians who appreciate the power of mathematics and the important role that it plays in engineering disciplines. It will promote interdisciplinary exploration and breadth, and help early career mathematicians flourish in the different cultures associated with the different academic disciplines. This ability to bridge different worlds is a quality that is increasingly important to success in both academic and non-academic careers.The emphasis is on the synergy between theory and application, since information theory and coding are subjects that advance by discovering new applications. The conference will feature recent examples where this synergy is present, specifically space-time codes for wireless communication and Clifford algebras, quantum information theory and quantum error correcting codes, radar and sequence design. The evolving applications context helps to define new areas of theory and provides measures for what is considered interesting. The development of a fundamental theory grounded in specific examples often illuminates the right abstraction, one that becomes a new primitive as theory and practice evolve together. When this synergy is not present there is always a risk that the theory will become detached from its original applications context and lose relevance.