论文标题
拓扑循环同源性在代数K理论中的应用
Applications of topological cyclic homology to algebraic K-theory
论文作者
论文摘要
代数K理论在从数字理论到功能分析的广泛数学主题中具有应用。它也很难计算。目前有两个主要的进攻：动机和循环同源性。我被要求概述“从历史的角度来看”拓扑循环同源性在代数K理论中的应用。时间轴从代数K理论的早期开始到现在，从七十年代围绕代数K理论的“切线空间”到当前的事务状态开始，我们看到在结构定理，计算和实现的结构定理和实现中，循环种子的变体可以超越Moorings k，keshorings of Moorings超过k-kess k the Moorings keshore keshore keshore keshore keshore keshore keshore kessey keshore y to k s efore keorn keshore keshore kesse keorncy keshore y s of。 非常欢迎评论，尤其是在历史准确性或近期贡献方面的评论
Algebraic K-theory has applications in a broad range of mathematical subjects, from number theory to functional analysis. It is also fiendishly hard to calculate. Presently there are two main inroads: motivic and cyclic homology. I've been asked to present an overview of the applications of topological cyclic homology to algebraic K-theory "from a historical perspective". The timeline spans from the very early days of algebraic K-theory to the present, starting with ideas in the seventies around the "tangent space" of algebraic K-theory all the way to the current state of affair where we see a resurgence in structural theorems, calculations and a realization that variants of cyclic homology have important things to say beyond the moorings to K-theory. Comments, especially with respect to historical accuracy or missing recent contributions, are very welcome
