K-Theory, Cyclic Homology, and Motives

K 理论、循环同调和动机

• 批准号: 1505539
• 负责人: Anders Buch
• 金额: $ 3.5万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-07-01 至 2016-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1505539&HistoricalAwards=false
• 关键词: Theory; Cyclic; Homology; Motives

An international conference on K-theory, Cyclic Homology and Motives will be held at Rutgers - The State University of New Jersey in New Brunswick, NJ from August 19 through August 22, 2015. The conference will bring together senior researchers from around the world with young mathematicians to exchange the most recent developments in the field and facilitate scientific interaction. NSF funds will support participants that do not have access to grant funds of their own, with a particular emphasis on supporting the participation of graduate students and recent graduates from groups underrepresented in the mathematical sciences.There have recently been major advances in several directions within the subject proposed for the conference, work which has led to numerous new questions and research programs. Among these are: the work on the Milnor and Bloch-Kato conjectures and the new techniques introduced for it, including a useable category of motives and motivic homotopy theory; the introduction of algebraic cobordism and its use in proving degree formulas; advances on and applications of trace methods; progress on the Farrell-Jones and Baum-Connes isomorphism conjectures and applications in geometric topology. The goal of the conference is to explore the connections between these research projects and share methods and techniques as well as the newest results. More details about the conference can be found at https://sites.google.com/site/kchm2015/.This award is co-funded by the Algebra, Number Theory, and Topology programs.

关于K理论，循环同源性和动机的国际会议将于2015年8月19日至8月22日在新泽西州新玩法的新泽西罗格斯州立大学举行。会议将汇集来自世界各地的高级研究人员和年轻的数学家，交流该领域的最新发展，促进科学互动。NSF基金将支持那些无法获得自己的资助资金的参与者，特别强调支持研究生和来自数学科学代表性不足的群体的最近毕业生的参与。最近在会议提出的主题中的几个方向上取得了重大进展，工作导致了许多新的问题和研究计划。其中包括：工作的米尔诺尔和布洛赫-加藤代数和新技术介绍了它，包括一个可用的类别的动机和动机同伦理论;介绍代数配边及其使用证明度公式;进展和应用的跟踪方法;进展的法雷尔-琼斯和鲍姆-康纳斯同构代数和应用在几何拓扑。会议的目的是探索这些研究项目之间的联系，分享方法和技术以及最新成果。有关会议的更多细节可以在www.example.com上找到https://sites.google.com/site/kchm2015/.This奖项由代数，数论和拓扑计划共同资助。