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

摘要主要研究者：Joshua， roye提案号：DMS - 0754330机构：俄亥俄州立大学标题：代数循环会议II：进展与展望组织者：Reza Akhtar（迈阿密大学），Patrick Brosnan（不列颠哥伦比亚大学）和Roy Joshua（俄亥俄州立大学）。这次会议将把世界上许多人聚集在一起。主要数学家调查当前的发展，报告最近的进展，并预测代数循环领域的未来发展。会议还将探讨算术几何和数学物理/非交换几何之间的联系。近年来，代数循环的研究取得了巨大的进展，代数k理论也取得了相关的成果。动机上同论的主要贡献者布洛赫、利希滕鲍姆、莱文、诺里和弗里德兰德同意参与这项研究。相关调查包括Totaro， Weibel和Esnault的工作，他们都同意参与。与代数循环密切相关的算术几何的发展涉及到Colliot-Thelene和Huber的工作，他们也将参加这次会议。代数循环与数学物理/非交换几何之间的联系近年来开始被探索。这个新兴领域的一些主要参与者是Bloch， Esnault和Kreimer：除了Bloch和Esnault之外，Kreimer也将参加这次会议。本次会议的地点是俄亥俄州哥伦布市的俄亥俄州立大学，时间为2008年3月24日星期一至3月29日星期六。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。

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.