Conference: Algebraic Cycles, K-Theory and Modular Representation Theory: Progress and Prospects; September 16-19, 2004

这笔拨款将部分支持一个会议，该会议将汇集许多世界领先的数学家来调查当前的发展，报告最近的进展，并预测代数循环，k理论和模表示理论的未来发展。这些主题之间的联系是代数和代数几何的融合，受到代数拓扑技术和动机的影响。代数循环的进展，以及代数k理论的相关结果，一直是引人注目的。动机上同论的主要贡献者布洛赫、苏斯林和沃沃茨基同意参与研究。动机上同论是这一进展的基础。相关调查包括Lawson、Lichtenbaum、Walker和Weibel的工作，他们都同意参与。模表示理论的发展涉及上同调技术，如支持变体，也引起了相当大的兴奋，该领域的一些主要研究人员（Benson， Nakano和Parshall）也将参加本次会议。这次会议恰逢埃里克·弗里德兰德诞辰60周年；2004年9月16日（星期四）至9月19日（星期日）考场为伊利诺斯州埃文斯顿西北大学。事实上，大多数讲师将是与弗里德兰德在上述主题方面合作过的数学家。会议计划支持一些年轻人的参与，包括博士后和高级研究生水平，因此它将有助于激发人们对这些令人兴奋的数学主题的兴趣和参与。详情请浏览http://www.math.northwestern.edu/conferences/friedlander

DMS-0354924Roy JoshuaThis grant will partially support a conference which will bring together many of the world's leading mathematicians to survey current developments, report on recent progress, and anticpate future developments in algebraic cycles, K-theory and modular representation theory. The link between these topics is the blend of algebra and algebraic geometry, influenced by techniques and motivation from algebraic topology. Progress in algebraic cycles, with related results in algebraic K-theory, has been dramatic. The principal contributors to motivic cohomology which underlies this progress, Bloch, Suslin, and Voevodsky, have agreed to participate. Related investigations include work of Lawson, Lichtenbaum, Walker, and Weibel, all of whom have agreed to participate. Developments in modular representation theory involving cohomological techniques such as support varieties have also generated considerable excitement, and some of the leading researchers in this area (Benson, Nakano and Parshall) will alsoparticipate in this conference.The occasion of this conference is the 60th birthday of Eric Friedlander; the venue is Northwestern University, Evanston, Illinois, from Thursday, September 16- Sunday September 19, 2004. Indeed, most of the lecturers will be mathematicians who have collaborated with Friedlander on aspects of the topics mentioned above. The conference plans to support participation by a number of young people, at both the post-doctoral and advanced graduate student level, so that it will serve to stimulate increased interest and participation in these exciting mathematical topics. For details pleasesee http://www.math.northwestern.edu/conferences/friedlander