A Conference on the Arithmetic and Geometry of Algebraic Cycles; Banff, Alberta, Canada; June 7-19, 1998

9701013戈登这个奖项支持一个关于代数循环的算术和几何的会议。作为代数几何的一个子领域，代数圈学科因其与代数K理论、Hodge理论、算术代数几何、数论和拓扑学的相互作用而蓬勃发展。最近在代数循环方面取得的巨大进步，基于与许多其他数学领域的许多相互作用，使得研究生和非专业人士更难接触到这门学科。这次会议的目标是让从不同方向研究代数周期的顶尖专家发表不同的观点，针对研究生、新近获得博士学位的S以及从事代数周期算术或几何其他方面工作的研究人员进行演讲。代数几何在数学中有着悠久而重要的历史，特别是因为它与数学的许多其他领域相互作用，如拓扑、分析、代数和数论。它在20世纪后半叶蓬勃发展，特别是在这个国家。在其最简单和最基本的层面上，代数几何研究由多项式方程定义的集合。这样的集合出现在计算机科学和机器人学的许多问题中，代数几何和这些领域之间的互动越来越多。

9701013 Gordon This award supports a conference on the arithmetic and geometry of algebraic cycles. As a subfield of algebraic geometry, the subject of algebraic cycles has thrived through its energetic interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has made the subject less accessible to graduate students and non-specialists. The goal of this conference is to have leading experts who study algebraic cycles from all these different directions speak on their various points of view, aiming their talks to graduate students, recent Ph.D.'s as well as to researchers who work in other aspects of the arithmetic or geometry of algebraic cycles. Algebraic geometry has a long and important history in mathematics, particularly because it interacts with so many other fields of mathematics, such as topology, analysis, algebra, and number theory. It has flourished during the last half of the twentieth century, especially in this country. At its simplest and most fundamental level, algebraic geometry studies sets defined by polynomial equations. Such sets arise in many problems in computer science and robotics, and there is increasing interaction between algebraic geometry and these fields.