K-theory and Noncommutative Geometry

2006年8月31日至9月6日，将在西班牙巴利亚多利德举行为期一周的“K理论和非对易几何”暑期学校和研究会议。 代数K-理论的领域正在迅速变化，这要归功于最近的发展，它涉及到模上同调，etale上同调，C*-代数，导出范畴和循环同调。 随着循环同调、C^*-代数和导出范畴技术的发展，非交换几何领域也在迅速变化。 这两个主题有相当大的重叠，如这个列表所示。 将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。这次会议是将正在快速发展的数学的几个不同领域联系起来的持续尝试的一部分：代数，特别是它通过K理论与代数几何的联系;函数分析，特别是几何对象上的运算符;和几何，特别是那些非交换方面的环状同源性测量。研究会议部分将暴露他们在该主题的前沿发展，并为研究人员互动的机会将推进发现和加强伙伴关系。

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.