Iwasawa 2010

数论中的许多代数不变量应该有解析类比的想法构成了当今算术几何的中心主题之一。岩泽理论更进一步，坚持认为代数不变量的某些p元极限应该有p元解析关系，这一观点已经被证明是非常有成效的。PIS将与菲尔兹研究所合作，于2010年7月5日至9日在多伦多大学组织2010年岩泽会议。这次会议是关于岩泽理论的一年两次的系列国际会议中最新的一次，也是第一次在北美举行。该系列一直吸引着全世界的观众，并在与一个著名的科学委员会协商后邀请演讲者。该奖项将为参加会议的美国演讲者和初级研究人员提供旅行支持。数字理论试图回答算术中的基本问题，例如：给定的多项式方程的解是什么？岩泽理论是数论中的一个主要研究领域，它提供了一种将某些此类方程的解与有趣的数学函数(称为p-进L函数)联系起来的方法。该奖项将为参加2010年7月5日至9日期间在多伦多大学与菲尔兹研究所协调举办的岩泽2010国际会议的美国数学家提供差旅支持。特别是，对美国研究生和博士后研究人员的支持将为他们提供向该领域一些顶尖专家学习的机会。此外，会议还将向专家们介绍岩泽理论的新技术和新发展，从而推动其许多悬而未决的问题和新的研究方向取得更大进展。

The idea that many algebraic invariants in number theory should have analytic analogues forms one of the central themes of arithmetic geometry today. Iwasawa theory takes this theme a step further, insisting that certain p-adic limits of algebraic invariants should have p-adic analytic relatives, an idea that has proven very fruitful. The PIs are organizing the conference Iwasawa 2010 at the University of Toronto from July 5-9, 2010, in coordination with the Fields Institute. This conference is the latest in a biannual series of international conferences on Iwasawa theory, and the first to be held in North America. The series has consistently attracted a worldwide audience, and speakers are invited upon consultation with a distinguished scientific committee. The award will provide travel support for U.S. speakers and junior researchers to the conference.Number theory attempts to answer fundamental questions in arithmetic, such as: what are the solutions to a given polynomial equation? Iwasawa theory is a major area of research in number theory that provides, among other things, a means of relating the solutions of certain such equations to interesting mathematical functions (known as p-adic L-functions). The award will provide travel support for U.S. mathematicians to the international conference Iwasawa 2010 organized at the University of Toronto in coordination with the Fields Institute, during the period July 5-9, 2010. In particular, support for U.S. graduate students and postdoctoral researchers will provide them with the opportunity to learn from some of the foremost experts in the field. Moreover, the conference will educate the experts on new techniques and developments in Iwasawa theory, thereby promoting even greater progress on its many open problems and new directions of research.