Conference on Algebraic Cycles: II Progress and Prospects, Spring 2008

摘要主要研究者：约书亚，罗伊提案编号：DMS - 0754330机构：俄亥俄州州立大学标题：代数周期会议II：进展和前景组织者：Reza Akhtar（迈阿密大学），帕特里克Brosnan（不列颠哥伦比亚省大学）和Roy约书亚（俄亥俄州州立大学）。的领先的数学家调查目前的发展，报告最近的进展，并预测未来的发展领域的代数周期。会议还将探讨与算术几何和数学物理/非交换几何的联系。近年来，代数圈的进展以及代数K理论的相关结果都是引人注目的。主要贡献者动机上同调的基础这一进展，布洛赫，Lichtenbaum，莱文，诺里和弗里德兰德已同意参加。相关的调查包括托塔罗、韦贝尔和埃斯诺特的工作，他们都同意参加。发展算术几何密切相关的代数周期涉及的工作Colliot，Thelene和胡贝尔谁也将参加这次会议。代数圈和数学物理/非交换几何之间的联系近年来开始被探索。这一新兴领域的一些主要参与者是Bloch，Esnault和Kreimer：除了Bloch和Esnault，Kreimer也将参加这次会议。本次会议的地点是俄亥俄州州立大学，哥伦布，俄亥俄州，从星期一，2008年3月24日至星期六，3月29日。会议计划支持一些年轻人的参与，无论是在博士后和高级研究生水平，使它将有助于刺激增加兴趣和参与这些令人兴奋的数学主题。

AbstractPrincipal Investigator: Joshua, RoyProposal Number: DMS - 0754330 Institution: The Ohio State University Title: Conference on Algebraic Cycles II: Progress and ProspectsOrganizers: Reza Akhtar (Miami University), Patrick Brosnan (University of British Columbia) and Roy Joshua (The Ohio State University).This conference will bring together many of the world?s leading mathematicians to survey current developments, report on recent progress, and anticipate future developments in the field of algebraic cycles. The conference will also explore connections with arithmetic geometry and mathematical physics/non-commutative geometry. Progress in algebraic cycles, with related results in algebraic K-theory, has been dramatic in recent years. The principal contributors to motivic cohomology which underlies this progress, Bloch, Lichtenbaum, Levine, Nori and Friedlander have agreed to participate. Related investigations include the work of Totaro, Weibel and Esnault all of whom have agreed to participate. Developments in arithmetic geometry closely related to algebraic cycles involve the work of Colliot-Thelene and Huber who will also participate in this conference. The connections between algebraic cycles and mathematical physics/non-commutative geometry have begun to be explored in recent years. Some of the main players in this emerging field are Bloch, Esnault and Kreimer: in addition to Bloch and Esnault, Kreimer also will participate in this conference. The venue of this conference is The Ohio State University, Columbus, Ohio, from Monday, March 24 through Saturday, March 29, 2008. 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.