K-theory and Noncommutative Geometry

从2006年8月31日到9月6日，将在西班牙巴利亚多利德举行为期一周的“k理论和非对易植物计量学”暑期学校和研究会议。近年来，代数k -论的研究领域迅速发展，包括动上同调、表上同调、C*-代数、派生范畴和循环同调。随着循环同调、C^*-代数和派生范畴技术的发展，非交换几何领域也在迅速发展。正如这个列表所示，这两个主题有相当多的重叠。把这些相关领域的国际专家聚集在一起，应该会发现这些数学分支之间的新联系。这次会议是一个正在进行的尝试的一部分，旨在将几个不同的数学领域联系起来，这些领域正在迅速发展：代数，特别是它通过k理论与代数几何的联系；泛函分析，特别是对几何对象的运算符；还有几何，特别是那些由循环同调测量的非交换方面。研究会议部分将使他们接触到该主题的前沿发展，研究人员互动的机会将促进发现并加强伙伴关系。

From August 31 to September 6, 2006 there will be a one-week SummerSchool and Research Conference on ``K-theory and NoncommutativeGeometry'' in Valladolid, Spain. The field of algebraic K-theory israpidly changing, thanks to the recent developments relating it tomotivic cohomology, etale cohomology, C*-algebras, derived categoriesand cyclic homology. The field of noncommutative geometry is alsorapidly changing with cyclic homology, C^*-algebras and derivedcategory techniques playing a leading role. The two subjects haveconsiderable overlap, as this list shows. Bringing togetherinternational experts in these related fields should result in thediscovery of new connections between these branches of mathematics.This conference is part of an on-going attempt to link up several differentareas of mathematics undergoing rapid development: algebra, especially itsconnections to algebraic geometry via K-theory; functional analysis,especially operators on objects of geometric interest; and geometry,especially those non-commuting aspects measured by cyclic homology.The research conference portion will expose them to the forefrontdevelopments in the subject, and the opportunity for researchers tointeract will advance discovery and enhance partnerships.